% BibTeX bibliography file

@Book{Abramowitz/Stegun/1972,
  title =	 {Handbook of Mathematical Functions},
  editor =	 {Abramowitz, M. and Stegun, I. A.},
  year =	 {1972},
  publisher =	 {National Bureau of Standards},
  address =	 {Washington, D. C.}
}

@Article{Askey/Wainger/1965,
  author =	 {Askey, R. and Wainger, S.},
  title =	 {Mean convergecne of expansions in {L}aguerre and
                  {H}ermite series},
  journal =	 {Amer. J. Math.},
  year =	 {1965},
  volume =	 {87},
  pages =	 {695 - 708}
}

@Book{Baker/Graves-Morris/1996,
  author =	 {Baker, Jr., G. A. and Graves-Morris, P.},
  title =	 {{P}ad\'{e} Approximants},
  edition =	 {2},
  year =	 {1996},
  publisher =	 {Cambridge U. P.},
  address =	 {Cambridge}
}

@Book{Balser/1994,
  author =	 {Balser, W.},
  title =	 {From Divergent Power Series to Analytic Functions},
  year =	 {1994},
  publisher =	 {Springer-Verlag},
  address =	 {Berlin}
}

@Book{Balser/1999,
  author =	 {Balser, W.},
  title =	 {Formal Power Series and Linear Systems of Meromorphic
                  Ordinary Differential Equations},
  year =	 {1999},
  publisher =	 {Springer-Verlag},
  address =	 {New York}
}

@Article{Barbeau/1979,
  author =	 {Barbeau, E. J.},
  title =	 {{E}uler subdues a very obstreperous series},
  journal =	 {Amer. Math. Monthly},
  year =	 {1979},
  volume =	 {86},
  pages =	 {356 - 372}
}

@Article{Barbeau/Leah/1976,
  author =	 {Barbeau, E. J. and Leah, P. J.},
  title =	 {{E}uler's 1760 paper on divergent series},
  journal =	 {Hist. Math.},
  year =	 {1976},
  volume =	 {3},
  pages =	 {141 - 160}
}

@Article{Bender/Weniger/2001,
  author =	 {Bender, C. M. and Weniger, E. J.},
  title =	 {Numerical evidence that the perturbation expansion for
                  a non-{H}ermitian $\mathcal{PT}$-symmetric
                  {H}amiltonian is {S}tieltjes},
  journal =	 {J. Math. Phys.},
  year =	 {2001},
  volume =	 {42},
  pages =	 {2167 - 2183}
}

@Article{Bender/Wu/1969,
  author =	 {Bender, C. M. and Wu, T. T.},
  title =	 {Anharmonic oscillator},
  journal =	 {Phys. Rev.},
  year =	 {1969},
  volume =	 {184},
  pages =	 {1231 - 1260}
}

@Article{Bender/Wu/1971,
  author =	 {Bender, C. M. and Wu, T. T.},
  title =	 {Large-order behavior of perturbation theory},
  journal =	 {Phys. Rev. Lett.},
  year =	 {1971},
  volume =	 {27},
  pages =	 {461 - 465}
}

@Book{Boos/2000,
  author =	 {Boos, J.},
  title =	 {Classical and Modern Methods of Summability},
  year =	 {2000},
  publisher =	 {Oxford U. P.},
  address =	 {Oxford}
}

@Article{Borghi/2007,
  author =	 {Borghi, R.},
  title =	 {Evaluation of diffraction catastrophes by using
                  {W}eniger transformation},
  journal =	 {Opt. Lett.},
  year =	 {2007},
  volume =	 {32},
  pages =	 {226 - 228}
}

@Article{Borghi/2008a,
  author =	 {Borghi, R.},
  title =	 {Summing {P}auli asymptotic series to solve the wedge
                  problem},
  journal =	 {J. Opt. Soc. Amer. A},
  year =	 {2008},
  volume =	 {25},
  pages =	 {211 - 218}
}

@Article{Borghi/2008b,
  author =	 {Borghi, R.},
  title =	 {On the numerical evaluation of cuspoid diffraction
                  catastrophes},
  journal =	 {J. Opt. Soc. Amer. A},
  year =	 {2008},
  volume =	 {25},
  pages =	 {1682 - 1690}
}

@Article{Borghi/2008c,
  author =	 {Borghi, R.},
  title =	 {Joint use of the {W}eniger transformation and
                  hyperasymptotics for accurate asymptotic evaluations of
                  a class of saddle-point integrals},
  journal =	 {Phys. Rev. E},
  year =	 {2008},
  volume =	 {78},
  pages =	 {026703-1 - 026703-11}
}

@InProceedings{Borghi/Alonso/2007,
  author =	 {Borghi, R. and Alonso, M.},
  title =	 {Efficient evaluation of far-field asymptotic series},
  booktitle =	 {ICTON '07: 9th International Conference on Transparent
                  Optical Networks},
  year =	 {2007},
  volume =	 {3},
  pages =	 {246 - 250},
  organization = {IEEE Xplore},
  address =	 {Piscataway, NJ}
}

@Article{Borghi/Santarsiero/2003,
  author =	 {Borghi, R. and Santarsiero, M.},
  title =	 {Summing {L}ax series for nonparaxial beam propagation},
  journal =	 {Opt. Lett.},
  year =	 {2003},
  volume =	 {28},
  pages =	 {774 - 776}
}

@Book{Bornemann/Laurie/Wagon/Waldvogel/2004,
  author =	 {Bornemann, F. and Laurie, D. and Wagon, S. and
                  Waldvogel, J.},
  title =	 {The SIAM 100-Digit Challenge: A Study in High-Accuracy
                  Numerical Computing},
  year =	 {2004},
  publisher =	 {Society of Industrial Applied Mathematics},
  address =	 {Philadelphia}
}

@Book{BoutetDeMonvel/1994,
  title =	 {M\'{e}thodes R\'{e}surgentes},
  editor =	 {Boutet de Monvel, L.},
  year =	 {1994},
  publisher =	 {Hermann},
  address =	 {Paris}
}

@Book{Brezinski/1977,
  author =	 {Brezinski, C.},
  title =	 {Acc\'el\'eration de la Convergence en Analyse
                  Num\'erique},
  year =	 {1977},
  publisher =	 {Springer-Verlag},
  address =	 {Berlin}
}

@Book{Brezinski/1978,
  author =	 {Brezinski, C.},
  title =	 {Algorithmes d'Acc\'el\'eration de la Convergence --
                  \'Etude Num\'erique},
  year =	 {1978},
  publisher =	 {\'Editions Technip},
  address =	 {Paris}
}

@Book{Brezinski/1980a,
  author =	 {Brezinski, C.},
  title =	 {{P}ad\'{e}-Type Approximation and General Orthogonal
                  Polynomials},
  year =	 {1980},
  publisher =	 {Birk\-h\"auser},
  address =	 {Basel}
}

@Book{Brezinski/1991a,
  author =	 {Brezinski, C.},
  title =	 {History of Continued Fractions and {P}ad\'{e}
                  Approximants},
  year =	 {1991},
  publisher =	 {Springer-Verlag},
  address =	 {Berlin}
}

@Article{Brezinski/1996,
  author =	 {Brezinski, C.},
  title =	 {Extrapolation algorithms and {P}ad\'{e} approximations:
                  A historical survey},
  journal =	 {Appl. Numer. Math.},
  year =	 {1996},
  volume =	 {20},
  pages =	 {299 - 318}
}

@Article{Brezinski/2000c,
  author =	 {Brezinski, C.},
  title =	 {Convergence acceleration during the 20th century},
  journal =	 {J. Comput. Appl. Math.},
  year =	 {2000},
  volume =	 {122},
  pages =	 {1 - 21},
  note =	 {Reprinted as \cite{Brezinski/2000d}}
}

@InCollection{Brezinski/2000d,
  author =	 {Brezinski, C.},
  title =	 {Convergence acceleration during the 20th century},
  booktitle =	 {Numerical Analysis 2000, Vol.\ 2: Interpolation and
                  Extrapolation},
  editor =	 {Brezinski, C.},
  year =	 {2000},
  pages =	 {1 - 21},
  publisher =	 {Elsevier},
  address =	 {Amsterdam}
}

@Book{Brezinski/RedivoZaglia/1991a,
  author =	 {Brezinski, C. and Redivo Zaglia, M.},
  title =	 {Extrapolation Methods},
  year =	 {1991},
  publisher =	 {North-Holland},
  address =	 {Amsterdam}
}

@Article{Buehring/1988,
  author =	 {B\"{u}hring, W.},
  title =	 {An analytic continuation formula for the generalized
                  hypergeometric function},
  journal =	 {SIAM J. Math. Anal.},
  year =	 {1988},
  volume =	 {19},
  pages =	 {1249 - 1251}
}

@Article{Burkhardt/1911,
  author =	 {Burkhardt, H.},
  title =	 {\"{U}ber den {G}ebrauch divergenter {R}eihen in der
                  {Z}eit von 1750 -- 1860},
  journal =	 {Math. Annal.},
  year =	 {1911},
  volume =	 {70},
  pages =	 {169 - 206}
}

@Article{Caliceti/Meyer-Hermann/Ribeca/Surzhykov/Jentschura/2007,
  author =	 {Caliceti, E. and Meyer-Hermann, M. and Ribeca, P. and
                  Surzhykov, A. and Jentschura, U. D.},
  title =	 {From useful algorithms for slowly convergent series to
                  physical predictions based on divergent perturbative
                  expansions},
  journal =	 {Phys. Rep.},
  year =	 {2007},
  volume =	 {446},
  pages =	 {1 - 96}
}

@Book{Candelpergher/Nosmas/Pham/1993,
  author =	 {Candelpergher, B. and Nosmas, J. C. and Pham, F.},
  title =	 {Approche de la R\'{e}surgence},
  year =	 {1993},
  publisher =	 {Hermann},
  address =	 {Paris}
}

@Book{Carlson/1977,
  author =	 {Carlson, B. C.},
  title =	 {Special Functions of Applied Mathematics},
  year =	 {1977},
  publisher =	 {Academic Press},
  address =	 {New York}
}

@Article{Cioslowski/Weniger/1993,
  author =	 {Cioslowski, J. and Weniger, E. J.},
  title =	 {Bulk properties from finite cluster
                  calculations. {VIII}. {B}enchmark calculations on the
                  efficiency of extrapolation methods for the {HF} and
                  {MP2} energies of polyacenes},
  journal =	 {J. Comput. Chem.},
  year =	 {1993},
  volume =	 {14},
  pages =	 {1468 - 1481}
}

@Article{Cizek/Vinette/Weniger/1991,
  author =	 {{\v{C}\'{\i}\v{z}ek}, J. and Vinette, F. and Weniger,
                  E. J.},
  title =	 {Examples on the use of symbolic computation in physics
                  and chemistry: {A}pplications of the inner projection
                  technique and of a new summation method for divergent
                  series},
  journal =	 {Int. J. Quantum Chem. Symp.},
  year =	 {1991},
  volume =	 {25},
  pages =	 {209 - 223}
}

@InProceedings{Cizek/Vinette/Weniger/1993a,
  author =	 {{\v{C}\'{\i}\v{z}ek}, J. and Vinette, F. and Weniger,
                  E. J.},
  title =	 {On the use of the symbolic language {M}aple in physics
                  and chemistry: {S}everal examples},
  booktitle =	 {Proceedings of the Fourth International Conference on
                  Computational Physics {PHYSICS} {COMPUTING} '92},
  editor =	 {de Groot, R. A. and Nadrchal, J.},
  year =	 {1993},
  pages =	 {31 - 44},
  publisher =	 {World Scientific},
  address =	 {Singapore},
  note =	 {Reprinted as \cite{Cizek/Vinette/Weniger/1993b}}
}

@Article{Cizek/Vinette/Weniger/1993b,
  author =	 {{\v{C}\'{\i}\v{z}ek}, J. and Vinette, F. and Weniger,
                  E. J.},
  title =	 {On the use of the symbolic language {M}aple in physics
                  and chemistry: {S}everal examples},
  journal =	 {Int. J. Mod. Phys. C},
  year =	 {1993},
  volume =	 {4},
  pages =	 {257 - 270}
}

@Article{Cizek/Weniger/Bracken/Spirko/1996,
  author =	 {{\v{C}\'{\i}\v{z}ek}, J. and Weniger, E. J. and
                  Bracken, P. and {\v{S}pirko}, V.},
  title =	 {Effective characteristic polynomials and two-point
                  {P}ad\'{e} approximants as summation techniques for the
                  strongly divergent perturbation expansions of the
                  ground state energies of anharmonic oscillators},
  journal =	 {Phys. Rev. E},
  year =	 {1996},
  volume =	 {53},
  pages =	 {2925 - 2939}
}

@Book{Cuyt/1988,
  title =	 {Nonlinear Numerical Methods and Rational Approximation},
  editor =	 {Cuyt, A.},
  year =	 {1988},
  publisher =	 {Reidel},
  address =	 {Dordrecht}
}

@Book{Cuyt/1994,
  title =	 {Nonlinear Numerical Methods and Rational Approximation
                  {II}},
  editor =	 {Cuyt, A.},
  year =	 {1994},
  publisher =	 {Kluwer},
  address =	 {Dordrecht}
}

@Book{Cuyt/BrevikPetersen/Verdonk/Waadeland/Jones/2008,
  author =	 {Cuyt, A. and Brevik Petersen, V. and Verdonk, B. and
                  Waadeland, H. and Jones, W. B.},
  title =	 {Handbook of Continued Fractions for Special Functions},
  year =	 {2008},
  publisher =	 {Springer-Verlag},
  address =	 {New York}
}

@Book{Cuyt/Wuytack/1987,
  author =	 {Cuyt, A. and Wuytack, L.},
  title =	 {Nonlinear Methods in Numerical Analysis},
  year =	 {1987},
  publisher =	 {North-Holland},
  address =	 {Amsterdam}
}

@Book{Davis/1989,
  author =	 {Davis, H. F.},
  title =	 {Fourier Series and Orthogonal Functions},
  year =	 {1989},
  publisher =	 {Dover},
  address =	 {New York},
  note =	 {Originally published by Allyn and Bacon (Boston, 1963)}
}

@Article{Delabaere/Pham/1999,
  author =	 {Delabaere, E. and Pham, F.},
  title =	 {Resurgent methods in semi-classical asymptotics},
  journal =	 {Ann. Inst. Henri Poincar\'{e} Phys. Th\'{e}or.},
  year =	 {1999},
  volume =	 {71},
  pages =	 {1 - 94}
}

@Book{Delahaye/1988,
  author =	 {Delahaye, J.-P.},
  title =	 {Sequence Transformations},
  year =	 {1988},
  publisher =	 {Springer-Verlag},
  address =	 {Berlin}
}

@Article{Doha/2003,
  author =	 {Doha, E. H.},
  title =	 {On the connection coefficients and recurrence relations
                  arising from expansions in series of {L}aguerre
                  polynomials},
  journal =	 {J. Phys. A},
  year =	 {2003},
  volume =	 {36},
  pages =	 {5449 - 5462}
}

@Article{Dyson/1952,
  author =	 {Dyson, D. J.},
  title =	 {Divergence of perturbation theory in quantum
                  electrodynamics},
  journal =	 {Phys. Rev.},
  year =	 {1952},
  volume =	 {85},
  pages =	 {32 - 33}
}

@Book{Erdelyi/Magnus/Oberhettinger/Tricomi/1953b,
  author =	 {Erd\'{e}lyi, A. and Magnus, W. and Oberhettinger,
                  F. and Tricomi, F. G.},
  title =	 {Higher Transcendental Functions},
  year =	 {1953},
  volume =	 {II},
  publisher =	 {McGraw-Hill},
  address =	 {New York}
}

@Book{Ferraro/2008,
  author =	 {Ferraro, G.},
  title =	 {The Rise and Development of the Theory of Series up to
                  the Early 1820s},
  year =	 {2008},
  publisher =	 {Springer-Verlag},
  address =	 {New York}
}

@Article{Filter/Steinborn/1980,
  author =	 {Filter, E. and Steinborn, E. O.},
  title =	 {A matrix representation of the translation operator
                  with respect to a basis of exponentially declining
                  functions},
  journal =	 {J. Math. Phys.},
  year =	 {1980},
  volume =	 {21},
  pages =	 {2725 - 2736}
}

@Article{Ford/Pennline/2007,
  author =	 {Ford, W. F. and Pennline, J A.},
  title =	 {When does convergence in the mean imply uniform
                  convergence?},
  journal =	 {Amer. Math. Monthly},
  year =	 {2007},
  volume =	 {114},
  pages =	 {58 - 60}
}

@Article{Frobenius/1880,
  author =	 {Frobenius, G.},
  title =	 {Ueber die {L}eibnitzsche {R}eihe},
  journal =	 {J. reine angew. Math.},
  year =	 {1880},
  volume =	 {89},
  pages =	 {262 - 264}
}

@Book{Gil/Segura/Temme/2007,
  author =	 {Gil, A. and Segura, J. and Temme, N. M.},
  title =	 {Numerical Methods for Special Functions},
  year =	 {2007},
  publisher =	 {SIAM},
  address =	 {Philadelphia}
}

@Book{Gottlieb/Orszag/1977,
  author =	 {Gottlieb, D. and Orszag, S. A.},
  title =	 {Numerical Analysis of Spectral Methods: Theory and
                  Applications},
  year =	 {1977},
  series =	 {Regional Conference Series in Applied Mathematics},
  publisher =	 {SIAM},
  address =	 {Philadelphia}
}

@Book{Gradshteyn/Rhyzhik/1994,
  author =	 {Gradshteyn, I. S. and Rhyzhik, I. M.},
  title =	 {Table of Integrals, Series, and Products},
  edition =	 {5th edition},
  year =	 {1994},
  publisher =	 {Academic Press},
  address =	 {Boston}
}

@Article{Graves-Morris/Roberts/Salam/2000a,
  author =	 {Graves-Morris, P. R. and Roberts, D. E. and Salam, A.},
  title =	 {The epsilon algorithm and related topics},
  journal =	 {J. Comput. Appl. Math.},
  year =	 {2000},
  volume =	 {122},
  pages =	 {51 - 80},
  note =	 {Reprinted as \cite{Graves-Morris/Roberts/Salam/2000b}}
}

@InCollection{Graves-Morris/Roberts/Salam/2000b,
  author =	 {Graves-Morris, P. R. and Roberts, D. E. and Salam, A.},
  title =	 {The epsilon algorithm and related topics},
  booktitle =	 {Numerical Analysis 2000, Vol.\ 2: Interpolation and
                  Extrapolation},
  editor =	 {Brezinski, C.},
  year =	 {2000},
  pages =	 {51 - 80},
  publisher =	 {Elsevier},
  address =	 {Amsterdam}
}

@Article{Grotendorst/Weniger/Steinborn/1986,
  author =	 {Grotendorst, J. and Weniger, E. J. and Steinborn,
                  E. O.},
  title =	 {Efficient evaluation of infinite-series representations
                  for overlap, two-center nuclear attraction, and
                  {C}oulomb integrals using nonlinear convergence
                  accelerators},
  journal =	 {Phys. Rev. A},
  year =	 {1986},
  volume =	 {33},
  pages =	 {3706 - 3726}
}

@Article{Guseinov/1980a,
  author =	 {Guseinov, I. I.},
  title =	 {Expansion of {S}later-type orbitals about a new origin
                  and analytical evaluation of multicenter
                  electron-repulsion integrals},
  journal =	 {Phy. Rev. A},
  year =	 {1980},
  volume =	 {22},
  pages =	 {369 - 371}
}

@Article{Guseinov/2001a,
  author =	 {Guseinov, I. I.},
  title =	 {Evaluation of expansion coefficients for translation of
                  {S}later-type orbitals using complete orthonormal sets
                  of exponential-type functions},
  journal =	 {Int. J. Quantum Chem.},
  year =	 {2001},
  volume =	 {81},
  pages =	 {126 - 129}
}

@Article{Guseinov/2002b,
  author =	 {Guseinov, I. I.},
  title =	 {Computation of molecular integrals over {S}later-type
                  orbitals. {IX}. {C}alculation of multicenter
                  multielectron molecular integrals with integer and
                  noninteger $n$ {S}later orbitals using complete
                  orthonormal sets of exponential functions},
  journal =	 {J. Mol. Struc. (Theochem)},
  year =	 {2002},
  volume =	 {593},
  pages =	 {65 - 69}
}

@Article{Guseinov/2002c,
  author =	 {Guseinov, I. I.},
  title =	 {New complete orthonormal sets of exponential-type
                  orbitals and their application to translation of
                  {S}later orbitals},
  journal =	 {Int. J. Quantum Chem.},
  year =	 {2002},
  volume =	 {90},
  pages =	 {114 - 118}
}

@Article{Guseinov/2002d,
  author =	 {Guseinov, I. I.},
  title =	 {Unified analytical treatment of one-electron
                  multicenter integrals of central and noncentral
                  potentials over {S}later orbitals},
  journal =	 {Int. J. Quantum Chem.},
  year =	 {2002},
  volume =	 {90},
  pages =	 {980 - 985}
}

@Article{Guseinov/2003b,
  author =	 {Guseinov, I. I.},
  title =	 {Unified treatment of integer and noninteger $n$
                  multicenter multielectron molecular integrals using
                  complete orthonormal sets of {$\Psi^{\alpha}$}-{ETO}s},
  journal =	 {J. Mol. Struc. (Theochem)},
  year =	 {2003},
  volume =	 {625},
  pages =	 {221 - 225}
}

@Article{Guseinov/2003d,
  author =	 {Guseinov, I. I.},
  title =	 {Addition theorems for {S}later-type orbitals and their
                  application to multicenter multielectron integrals of
                  central and noncentral interaction potentials},
  journal =	 {J. Mol. Model.},
  year =	 {2003},
  volume =	 {9},
  pages =	 {190 - 194}
}

@Article{Guseinov/2003e,
  author =	 {Guseinov, I. I.},
  title =	 {Unified analytical treatment of multicenter
                  multielectron integrals of central and noncentral
                  interaction potentials over {S}later orbitals using
                  {$\Psi^{\alpha}$}-{ETO}s},
  journal =	 {J. Chem. Phys.},
  year =	 {2003},
  volume =	 {119},
  pages =	 {4614 - 4619}
}

@Article{Guseinov/2004a,
  author =	 {Guseinov, I. I.},
  title =	 {Unified analytical treatment of multicentre electron
                  attraction, electric field and electric field gradient
                  integrals over {S}later orbitals},
  journal =	 {J. Phys. A},
  year =	 {2004},
  volume =	 {37},
  pages =	 {957 - 964}
}

@Article{Guseinov/2004b,
  author =	 {Guseinov, I. I.},
  title =	 {Use of {$\Psi^{\alpha}$}-{ETO}s in the unified
                  treatment of electronic attraction, electric field and
                  electric field gradient multicenter integrals of
                  screened {C}oulomb potentials over {S}later orbitals},
  journal =	 {J. Mol. Model.},
  year =	 {2004},
  volume =	 {10},
  pages =	 {19 - 24}
}

@Article{Guseinov/2004c,
  author =	 {Guseinov, I. I.},
  title =	 {Unified treatment of multicenter integrals of integer
                  and noninteger $u$ {Y}ukawa-type screened {C}oulomb
                  type potentials and their derivatives over {S}later
                  orbitals},
  journal =	 {J. Chem. Phys.},
  year =	 {2004},
  volume =	 {120},
  pages =	 {9454 - 9457}
}

@Article{Guseinov/2004d,
  author =	 {Guseinov, I. I.},
  title =	 {One-range addition theorems for derivatives of
                  {S}later-type orbitals},
  journal =	 {J. Mol. Model.},
  year =	 {2004},
  volume =	 {10},
  pages =	 {212 - 215}
}

@Article{Guseinov/2004e,
  author =	 {Guseinov, I. I.},
  title =	 {Erratum: {U}se of {$\Psi^{\alpha}$}-{ETO}s in the
                  unified treatment of electronic attraction, electric
                  field and electric field gradient multicenter integrals
                  of screened {C}oulomb potentials over {S}later
                  orbitals},
  journal =	 {J. Mol. Model.},
  year =	 {2004},
  volume =	 {10},
  pages =	 {233}
}

@Article{Guseinov/2004i,
  author =	 {Guseinov, I. I.},
  title =	 {Unified analytical treatment of two-electron
                  multicenter integrals of central and noncentral
                  interaction potentials over {S}later orbitals},
  journal =	 {Int. J. Quantum Chem.},
  year =	 {2004},
  volume =	 {100},
  pages =	 {206 - 207}
}

@Article{Guseinov/2004k,
  author =	 {Guseinov, I. I.},
  title =	 {Unified treatment of electronic attraction, electric
                  field, and electric-field gradient multicenter
                  integrals of screened and nonscreened {C}oulomb
                  potentials using overlap integrals for {S}later
                  orbitals},
  journal =	 {Can. J. Phys.},
  year =	 {2004},
  volume =	 {82},
  pages =	 {819 - 825}
}

@Article{Guseinov/2005a,
  author =	 {Guseinov, I. I.},
  title =	 {One-range addition theorems for {C}oulomb interaction
                  potential and its derivatives},
  journal =	 {Chem. Phys.},
  year =	 {2005},
  volume =	 {309},
  pages =	 {209 - 213}
}

@Article{Guseinov/2005c,
  author =	 {Guseinov, I. I.},
  title =	 {One-range addition theorems for {Y}ukawa-like central
                  and noncentral interaction potentials and their
                  derivatives},
  journal =	 {Bull. Chem. Soc. Japan},
  year =	 {2005},
  volume =	 {78},
  pages =	 {611 - 614}
}

@Article{Guseinov/2005g,
  author =	 {Guseinov, I. I.},
  title =	 {One-range addition theorems for derivatives of integer
                  and noninteger $u$ {C}oulomb~{Y}ukawa type central and
                  noncentral potentials and their application to
                  multicenter integrals of integer and noninteger $n$
                  {S}later orbitals},
  journal =	 {J. Mol. Struc. (Theochem)},
  year =	 {2005},
  volume =	 {757},
  pages =	 {165 - 169}
}

@Article{Guseinov/2006a,
  author =	 {Guseinov, I. I.},
  title =	 {One-range addition theorems for combined {C}oulomb and
                  {Y}ukawa like central and noncentral interaction
                  potentials and their derivatives},
  journal =	 {J. Math. Chem.},
  year =	 {2006},
  volume =	 {39},
  pages =	 {253 - 258}
}

@Misc{Guseinov/2007a,
  author =	 {Guseinov, I. I.},
  title =	 {{Combined Extended Rejoinder to ``Extended Comment on
                  ``One-Range Addition Theorems for Coulomb Interaction
                  Potential and Its Derivatives" by I. I. Guseinov
                  (Chem. Phys., Vol. 309 (2005)'', pp. 209-213)}"},
  year =	 {2007},
  howpublished = {{L}os Alamos Preprint \texttt{arXiv:0706.0975v3
                  [physics.chem-ph]} \texttt{(http://arXiv.org)}}
}

@Article{Guseinov/Mamedov/2002d,
  author =	 {Guseinov, I. I. and Mamedov, B. A.},
  title =	 {Use of addition theorems in evaluation of multicenter
                  nuclear-attraction and electron-repulsion integrals
                  with integer and noninteger $n$ {S}later-type orbitals},
  journal =	 {Theor. Chem. Acc.},
  year =	 {2002},
  volume =	 {108},
  pages =	 {21 - 26}
}

@Article{Guseinov/Mamedov/2004b,
  author =	 {Guseinov, I. I. and Mamedov, B. A.},
  title =	 {Unified treatment of overlap integrals with integer and
                  noninteger $n$ {S}later-type orbitals using
                  translational and rotational transformations for
                  spherical harmonics},
  journal =	 {Can. J. Phys.},
  year =	 {2004},
  volume =	 {82},
  pages =	 {205 - 211}
}

@Article{Guseinov/Mamedov/2004d,
  author =	 {Guseinov, I. I. and Mamedov, B. A.},
  title =	 {Evaluation of multicenter one-electron integrals of
                  noninteger $u$ screened {C}oulomb type potentials and
                  their derivatives over noninteger $n$ {S}later
                  orbitals},
  journal =	 {J. Chem. Phys.},
  year =	 {2004},
  volume =	 {121},
  pages =	 {1649 - 1654}
}

@Article{Guseinov/Mamedov/2004e,
  author =	 {Guseinov, I. I. and Mamedov, B. A.},
  title =	 {Evaluation of multicenter electronic attraction,
                  electric field and electric field gradient integrals
                  with screened and nonscreened {C}oulomb potentials over
                  integer and noninteger $n$ {S}later orbitals},
  journal =	 {J. Math. Chem.},
  year =	 {2004},
  volume =	 {36},
  pages =	 {113 - 121}
}

@Article{Guseinov/Mamedov/2005c,
  author =	 {Guseinov, I. I. and Mamedov, B. A.},
  title =	 {Calculation of multicenter electronic attraction,
                  electric field and electric field gradient integrals of
                  {C}oulomb potential over integer and noninteger $n$
                  {S}later orbitals},
  journal =	 {J. Math. Chem.},
  year =	 {2005},
  volume =	 {37},
  pages =	 {353 - 364}
}

@Article{Guseinov/Mamedov/Suenel/2002,
  author =	 {Guseinov, I. I. and Mamedov, B. A. and S\"{u}nel, N.},
  title =	 {Computation of molecular integrals over {S}later-type
                  orbitals. {X}. {C}alculation of overlap integrals with
                  integer and noninteger $n$ {S}later orbitals using
                  complete orthonormal sets of exponential functions},
  journal =	 {J. Mol. Struc. (Theochem)},
  year =	 {2002},
  volume =	 {593},
  pages =	 {71 - 77}
}

@Book{Hardy/1949,
  author =	 {Hardy, G. H.},
  title =	 {Divergent Series},
  year =	 {1949},
  publisher =	 {Clarendon Press},
  address =	 {Oxford}
}

@Book{Higgins/1977,
  author =	 {Higgins, J. R.},
  title =	 {Completeness and Basis Properties of Sets of Special
                  Functions},
  year =	 {1977},
  publisher =	 {Cambridge U. P.},
  address =	 {Cambridge}
}

@Article{Hoelder/1882,
  author =	 {H\"{o}lder, O.},
  title =	 {Grenzwerthe von {R}eihen an der {K}onvergenzgrenze},
  journal =	 {Math. Annal.},
  year =	 {1882},
  volume =	 {20},
  pages =	 {535 - 549}
}

@Article{Homeier/2000a,
  author =	 {Homeier, H. H. H.},
  title =	 {Scalar {L}evin-type sequence transformations},
  journal =	 {J. Comput. Appl. Math.},
  year =	 {2000},
  volume =	 {122},
  pages =	 {81 - 147},
  note =	 {Reprinted as \cite{Homeier/2000b}}
}

@InCollection{Homeier/2000b,
  author =	 {Homeier, H. H. H.},
  title =	 {Scalar {L}evin-type sequence transformations},
  booktitle =	 {Numerical Analysis 2000, Vol.\ 2: Interpolation and
                  Extrapolation},
  editor =	 {Brezinski, C.},
  year =	 {2000},
  pages =	 {81 - 147},
  publisher =	 {Elsevier},
  address =	 {Amsterdam}
}

@Article{Homeier/Weniger/1995,
  author =	 {Homeier, H. H. H. and Weniger, E. J.},
  title =	 {On remainder estimates for {L}evin-type sequence
                  transformations},
  journal =	 {Comput. Phys. Commun.},
  year =	 {1995},
  volume =	 {92},
  pages =	 {1 - 10}
}

@Article{Jentschura/Becher/Weniger/Soff/2000,
  author =	 {Jentschura, U. D. and Becher, J. and Weniger, E. J. and
                  Soff, G.},
  title =	 {Resummation of {QED} perturbation series by sequence
                  transformations and the prediction of perturbative
                  coefficients},
  journal =	 {Phys. Rev. Lett.},
  year =	 {2000},
  volume =	 {85},
  pages =	 {2446 - 2449}
}

@Article{Jentschura/Gies/Valluri/Lamm/Weniger/2002,
  author =	 {Jentschura, U. D. and Gies, H. and Valluri, S. R. and
                  Lamm, D.R. and Weniger, E.J.},
  title =	 {{QED} effective action revisited},
  journal =	 {Can. J. Phys.},
  year =	 {2002},
  volume =	 {80},
  pages =	 {267 - 284}
}

@Article{Jentschura/Mohr/Soff/Weniger/1999,
  author =	 {Jentschura, U. D. and Mohr, P. J. and Soff, G. and
                  Weniger, E. J.},
  title =	 {Convergence acceleration via combined
                  nonlinear-condensation transformations},
  journal =	 {Comput. Phys. Commun.},
  year =	 {1999},
  volume =	 {116},
  pages =	 {28 - 54}
}

@Article{Jentschura/Weniger/Soff/2000,
  author =	 {Jentschura, U. D. and Weniger, E. J. and Soff, G.},
  title =	 {Asymptotic improvement of resummations and perturbative
                  predictions in quantum field theory},
  journal =	 {J. Phys. G},
  year =	 {2000},
  volume =	 {26},
  pages =	 {1545 - 1568}
}

@Article{Kaijser/Smith/1977,
  author =	 {Kaijser, P. and Smith, Jr., V. H.},
  title =	 {Evaluation of momentum distributions and {C}ompton
                  profiles for atomic and molecular systems},
  journal =	 {Adv. Quantum Chem.},
  year =	 {1977},
  volume =	 {10},
  pages =	 {37 - 76}
}

@PhdThesis{Klahn/1975,
  author =	 {Klahn, B.},
  title =	 {Die Konvergenz des Ritz'schen Variationsverfahrens in
                  der Quantenchemie},
  year =	 {1975},
  school =	 {Mathematisch-Naturwissenschaftliche Fakult\"{a}t der
                  Georg-August-Uni\-versi\-t\"{a}t zu G\"{o}ttingen},
  address =	 {G\"{o}ttingen}
}

@Article{Klahn/1981,
  author =	 {Klahn, B.},
  title =	 {Review of linear independence properties of infinite
                  sets of functions used in quantum chemistry},
  journal =	 {Adv. Quantum Chem.},
  year =	 {1981},
  volume =	 {13},
  pages =	 {155 - 209}
}

@Article{Klahn/Bingel/1977a,
  author =	 {Klahn, B. and Bingel, W. A.},
  title =	 {The convergence of the {R}ayleigh-{R}itz method in
                  quantum chemistry. {I}. The criteria for convergence},
  journal =	 {Theor. Chim. Acta},
  year =	 {1977},
  volume =	 {44},
  pages =	 {9 - 26}
}

@Article{Klahn/Bingel/1977b,
  author =	 {Klahn, B. and Bingel, W. A.},
  title =	 {The convergence of the {R}ayleigh-{R}itz method in
                  quantum chemistry. {II}. Investigation of the
                  convergence for special systems of {S}later, {G}auss
                  and two-electron functions},
  journal =	 {Theor. Chim. Acta},
  year =	 {1977},
  volume =	 {44},
  pages =	 {27 - 43}
}

@Article{Klahn/Bingel/1977c,
  author =	 {Klahn, B. and Bingel, W. A.},
  title =	 {Completeness and linear independence of basis sets used
                  in quantum chemistry},
  journal =	 {Int. J. Quantum Chem.},
  year =	 {1977},
  volume =	 {11},
  pages =	 {943 - 957}
}

@Article{Klahn/Morgan/1984,
  author =	 {Klahn, B. and Morgan III, J. D.},
  title =	 {Rates of convergence of variational calculations and of
                  expectation values},
  journal =	 {J. Chem. Phys.},
  year =	 {1984},
  volume =	 {81},
  pages =	 {410 - 433}
}

@Book{Knopp/1964,
  author =	 {Knopp, K.},
  title =	 {Theorie und {A}nwendung der unendlichen {R}eihen},
  year =	 {1964},
  publisher =	 {Springer-Verlag},
  address =	 {Berlin}
}

@Article{Kochneff/1995,
  author =	 {Kochneff, E.},
  title =	 {Expansions in {L}aguerre polynomials of negative order},
  journal =	 {J. Approx. Theory},
  year =	 {1995},
  volume =	 {81},
  pages =	 {332 - 346}
}

@Book{Koerner/1988,
  author =	 {K\"{o}rner, T. W.},
  title =	 {Fourier Analysis},
  year =	 {1988},
  publisher =	 {Cambridge U. P.},
  address =	 {Cambridge}
}

@Article{Kozlov/2007,
  author =	 {Kozlov, V. V.},
  title =	 {{E}uler and mathematical methods in mechanics (on the
                  300th anniversary of the birth of {L}eonhard {E}uler)},
  journal =	 {Russ. Math. Surv.},
  year =	 {2007},
  volume =	 {62},
  pages =	 {639 - 661}
}

@Article{Kranz/Steinborn/1982,
  author =	 {Kranz, H. H. and Steinborn, E. O.},
  title =	 {Implications and improvements of single-center
                  expansions in molecules},
  journal =	 {Phys. Rev. A},
  year =	 {1982},
  volume =	 {25},
  pages =	 {66 - 75}
}

@Book{LeGuillou/Zinn-Justin/1990,
  title =	 {Large-Order Behaviour of Perturbation Theory},
  editor =	 {Le Guillou, J. C. and Zinn-Justin, J.},
  year =	 {1990},
  publisher =	 {North-Holland},
  address =	 {Amsterdam}
}

@Article{Levin/1973,
  author =	 {Levin, D.},
  title =	 {Development of non-linear transformations for improving
                  convergence of sequences},
  journal =	 {Int. J. Comput. Math. B},
  year =	 {1973},
  volume =	 {3},
  pages =	 {371 - 388}
}

@Book{Liem/Lu/Shih/1995,
  author =	 {Liem, C. B. and L\"{u}, T. and Shih, T. M.},
  title =	 {The Splitting Extrapolation Method},
  year =	 {1995},
  publisher =	 {World Scientific},
  address =	 {Singapore}
}

@Book{Magnus/Oberhettinger/Soni/1966,
  author =	 {Magnus, W. and Oberhettinger, F. and Soni, R. P.},
  title =	 {Formulas and Theorems for the Special Functions of
                  Mathematical Physics},
  year =	 {1966},
  publisher =	 {Springer-Verlag},
  address =	 {New York}
}

@Book{Marchuk/Shaidurov/1983,
  author =	 {Marchuk, G. I. and Shaidurov, V. V.},
  title =	 {Difference Methods and Their Extrapolations},
  year =	 {1983},
  publisher =	 {Springer-Verlag},
  address =	 {New York}
}

@Book{Olver/1997a,
  author =	 {Olver, F. W. J.},
  title =	 {Asymptotics and Special Functions},
  year =	 {1997},
  publisher =	 {A. K. Peters},
  address =	 {Natick, Mass.},
  note =	 {Originally published by Academic Press (New York,
                  1974).}
}

@Book{Petersen/1966,
  author =	 {Petersen, G. M.},
  title =	 {Regular Matrix Transformations},
  year =	 {1966},
  publisher =	 {McGraw-Hill},
  address =	 {London}
}

@Book{Peyerimhoff/1969,
  author =	 {Peyerimhoff, A.},
  title =	 {Lectures on Summability},
  year =	 {1969},
  publisher =	 {Springer-Verlag},
  address =	 {Berlin}
}

@Article{Pollard/1947a,
  author =	 {Pollard, H.},
  title =	 {Representation of an analytic function by a {L}aguerre
                  series},
  journal =	 {Ann. Math.},
  year =	 {1947},
  volume =	 {48},
  pages =	 {358 - 365}
}

@Book{Powell/Shah/1988,
  author =	 {Powell, R. E. and Shah, S. M.},
  title =	 {Summability Theory and Its Applications},
  year =	 {1988},
  publisher =	 {Prentice-Hall of India},
  address =	 {New Delhi}
}

@Book{Press/Teukolsky/Vetterling/Flannery/2007,
  author =	 {Press, W. H. and Teukolsky, S. A. and Vetterling,
                  W. T. and Flannery, B. P.},
  title =	 {Numerical Recipes: The Art of Scientific Computing},
  edition =	 {3},
  year =	 {2007},
  publisher =	 {Cambridge U. P.},
  address =	 {Cambridge}
}

@Book{Rainville/1971,
  author =	 {Rainville, E. D.},
  title =	 {Special Functions},
  year =	 {1971},
  publisher =	 {Chelsea},
  address =	 {Bronx, New York},
  note =	 {Originally published by Macmillan (New York, 1960).}
}

@Article{Rubel/1989,
  author =	 {Rubel, L. A.},
  title =	 {The editor's corner: Summability theory: A neglected
                  tool of analysis},
  journal =	 {Amer. Math. Monthly},
  year =	 {1989},
  volume =	 {96},
  pages =	 {421 - 423}
}

@Article{Rusev/1983,
  author =	 {Rusev, P.},
  title =	 {Expansion of analytic functions in series of classical
                  orthogonal polynomials},
  journal =	 {Banach Cent. Publ.},
  year =	 {1983},
  volume =	 {11},
  pages =	 {287 - 298}
}

@Article{Sanchez-Ruiz/Lopez-Artez/Dehesa/2003,
  author =	 {S\'{a}nchez-Ruiz, J. and L\'{o}pez-Art\'{e}z, P. and
                  Dehesa, J. S.},
  title =	 {Expansions in series of varying {L}aguerre polynomials
                  and some applications to molecular potentials},
  journal =	 {J. Comput. Appl. Math.},
  year =	 {2003},
  volume =	 {153},
  pages =	 {411 - 421}
}

@Book{Sansone/1977,
  author =	 {Sansone, G.},
  title =	 {Orthogonal Functions},
  year =	 {1977},
  publisher =	 {Krieger},
  address =	 {Huntington, NY},
  note =	 {Revised edition. Originally published by Wiley (New
                  York, 1959)}
}

@Book{Sidi/2003,
  author =	 {Sidi, A.},
  title =	 {Practical Extrapolation Methods},
  year =	 {2003},
  publisher =	 {Cambridge U. P.},
  address =	 {Cambridge}
}

@Article{Skorokhodov/2003,
  author =	 {Skorokhodov, S. L.},
  title =	 {Advanced techniques for computing divergent series},
  journal =	 {Nucl. Inst. Meth. Phys. Res. A},
  year =	 {2003},
  volume =	 {502},
  pages =	 {636 - 638}
}

@Article{Slater/1930,
  author =	 {Slater, J. C.},
  title =	 {Atomic shielding constants},
  journal =	 {Phys. Rev.},
  year =	 {1930},
  volume =	 {36},
  pages =	 {57 - 64}
}

@Article{Slater/1932,
  author =	 {Slater, J. C.},
  title =	 {Analytic atomic wave functions},
  journal =	 {Phys. Rev.},
  year =	 {1932},
  volume =	 {42},
  pages =	 {33 - 43}
}

@Book{Slater/1960,
  author =	 {Slater, L.J.},
  title =	 {Confluent Hypergeometric Functions},
  year =	 {1960},
  publisher =	 {Cambridge U. P.},
  address =	 {Cambridge}
}

@Article{Smith/Ford/1979,
  author =	 {Smith, D. A. and Ford, W. F.},
  title =	 {Acceleration of linear and logarithmic convergence},
  journal =	 {SIAM J. Numer. Anal.},
  year =	 {1979},
  volume =	 {16},
  pages =	 {223 - 240}
}

@Article{Smith/Ford/1982,
  author =	 {Smith, D. A. and Ford, W. F.},
  title =	 {Numerical comparisons of nonlinear convergence
                  accelerators},
  journal =	 {Math. Comput.},
  year =	 {1982},
  volume =	 {38},
  pages =	 {481 - 499}
}

@Article{Steinborn/Weniger/1990,
  author =	 {Steinborn, E. O. and Weniger, E. J.},
  title =	 {Sequence transformations for the efficient evaluation
                  of infinite series representations of some molecular
                  integrals with exponentially decaying basis functions},
  journal =	 {J. Mol. Struct. (Theochem)},
  year =	 {1990},
  volume =	 {210},
  pages =	 {71 - 78}
}

@Book{Sternin/Shatalov/1996,
  author =	 {Sternin, B. Yu. and Shatalov, V. E.},
  title =	 {Borel-{L}aplace Transform and Asymptotic Theory},
  year =	 {1996},
  publisher =	 {CRC Press},
  address =	 {Boca Raton}
}

@Article{Suslov/2005,
  author =	 {Suslov, I. M.},
  title =	 {Divergent perturbation series},
  journal =	 {J. Exp. Theor. Phys. (JETP)},
  year =	 {2005},
  volume =	 {100},
  pages =	 {1188 - 1234}
}

@Article{Szasz/Yeardley/1958,
  author =	 {Sz\'{a}sz, O. and Yeardley, N.},
  title =	 {The representation of an analytic function by general
                  {L}aguerre series},
  journal =	 {Pac. J. Math.},
  year =	 {1958},
  volume =	 {8},
  pages =	 {621 - 633}
}

@Book{Szegoe/1967,
  author =	 {Szeg\"{o}, G.},
  title =	 {Orthogonal Polynomials},
  year =	 {1967},
  publisher =	 {American Mathematical Society},
  address =	 {Providence, Rhode Island}
}

@Article{Temme/2003,
  author =	 {Temme, N. M.},
  title =	 {Large parameter cases of the {G}auss hypergeometric
                  function},
  journal =	 {J. Comput. Appl. Math.},
  year =	 {2003},
  volume =	 {153},
  pages =	 {441 - 462}
}

@Article{Temme/2007,
  author =	 {Temme, N. M.},
  title =	 {Numerical aspects of special functions},
  journal =	 {Acta Numer.},
  year =	 {2007},
  volume =	 {16},
  pages =	 {379 - 478}
}

@Article{Toeplitz/1911,
  author =	 {Toeplitz, O.},
  title =	 {\"{U}ber allgemeine lineare {M}ittelbildung},
  journal =	 {Prace Mat.-Fiz.},
  year =	 {1911},
  volume =	 {22},
  pages =	 {113 - 119}
}

@Book{Tricomi/1970,
  author =	 {Tricomi, F. G.},
  title =	 {Vorlesungen \"{u}ber Orthogonalreihen},
  edition =	 {2},
  year =	 {1970},
  publisher =	 {Springer-Verlag},
  address =	 {Berlin}
}

@Article{Tricomi/Erdelyi/1951,
  author =	 {Tricomi, F. G. and Erd\'{e}lyi, A.},
  title =	 {The asymptotic expansion of a ratio of gamma functions},
  journal =	 {Pacif. J. Math.},
  year =	 {1951},
  volume =	 {1},
  pages =	 {133 - 142}
}

@Article{Trivedi/Steinborn/1982,
  author =	 {Trivedi, H. P. and Steinborn, E. O.},
  title =	 {Numerical properties of a new translation formula for
                  exponential-type functions and its application to
                  one-electron multicenter integrals},
  journal =	 {Phys. Rev. A},
  year =	 {1982},
  volume =	 {25},
  pages =	 {113 - 127}
}

@Article{Varadarajan/2007,
  author =	 {Varadarajan, V. S.},
  title =	 {Euler and his work on infinite series},
  journal =	 {Bull. Amer. Math. Soc.},
  year =	 {2007},
  volume =	 {44},
  pages =	 {515 - 539}
}

@InCollection{Villani/1972,
  author =	 {Villani, M.},
  title =	 {A summation method for perturbation series with
                  divergent terms},
  booktitle =	 {Carg\`ese Lectures in Physics},
  editor =	 {Bessis, D.},
  year =	 {1972},
  volume =	 {5},
  pages =	 {461 - 474},
  publisher =	 {Gordon and Breach},
  address =	 {New York}
}

@Book{Walz/1996,
  author =	 {Walz, G.},
  title =	 {Asymptotics and Extrapolation},
  year =	 {1996},
  publisher =	 {Akademie Verlag},
  address =	 {Berlin}
}

@Article{Weniger/1985,
  author =	 {Weniger, E. J.},
  title =	 {Weakly convergent expansions of a plane wave and their
                  use in {F}ourier integrals},
  journal =	 {J. Math. Phys.},
  year =	 {1985},
  volume =	 {26},
  pages =	 {276 - 291}
}

@Article{Weniger/1989,
  author =	 {Weniger, E. J.},
  title =	 {Nonlinear sequence transformations for the acceleration
                  of convergence and the summation of divergent series},
  journal =	 {Comput. Phys. Rep.},
  year =	 {1989},
  volume =	 {10},
  pages =	 {189 - 371},
  note =	 {{L}os Alamos Preprint math-ph/0306302
                  ({\verb+http://arXiv.org+})}
}

@Article{Weniger/1990,
  author =	 {Weniger, E. J.},
  title =	 {On the summation of some divergent hypergeometric
                  series and related perturbation expansions},
  journal =	 {J. Comput. Appl. Math.},
  year =	 {1990},
  volume =	 {32},
  pages =	 {291 - 300}
}

@Article{Weniger/1992,
  author =	 {Weniger, E. J.},
  title =	 {Interpolation between sequence transformations},
  journal =	 {Numer. Algor.},
  year =	 {1992},
  volume =	 {3},
  pages =	 {477 - 486}
}

@InCollection{Weniger/1994a,
  author =	 {Weniger, E. J.},
  title =	 {On the efficiency of linear but nonregular sequence
                  transformations},
  booktitle =	 {Nonlinear Numerical Methods and Rational Approximation
                  {II}},
  editor =	 {Cuyt, A.},
  year =	 {1994},
  pages =	 {269 - 282},
  publisher =	 {Kluwer},
  address =	 {Dordrecht}
}

@PhdThesis{Weniger/1994b,
  author =	 {Weniger, E. J.},
  title =	 {Verallgemeinerte Summationsprozesse als numerische
                  Hilfsmittel f\"{u}r quantenmechani\-sche und
                  quantenchemische Rechnungen},
  year =	 {1994},
  type =	 {{H}abilitation thesis},
  school =	 {Fachbereich Chemie und Pharmazie, Universit\"at
                  Regensburg},
  note =	 {{L}os Alamos Preprint math-ph/0306048
                  ({\verb+http://arXiv.org+})}
}

@Article{Weniger/1996a,
  author =	 {Weniger, E. J.},
  title =	 {{N}onlinear sequence transformations: A computational
                  tool for quantum mechanical and quantum chemical
                  calculations},
  journal =	 {Int. J. Quantum Chem.},
  year =	 {1996},
  volume =	 {57},
  pages =	 {265 - 280}
}

@Article{Weniger/1996b,
  author =	 {Weniger, E. J.},
  title =	 {{E}rratum: Nonlinear sequence transformations: A
                  computational tool for quantum mechanical and quantum
                  chemical calculations},
  journal =	 {Int. J. Quantum Chem.},
  year =	 {1996},
  volume =	 {58},
  pages =	 {319 - 321}
}

@Article{Weniger/1996c,
  author =	 {Weniger, E. J.},
  title =	 {{A} convergent renormalized strong coupling
                  perturbation expansion for the ground state energy of
                  the quartic, sextic, and octic anharmonic oscillator},
  journal =	 {Ann. Phys. (NY)},
  year =	 {1996},
  volume =	 {246},
  pages =	 {133 - 165}
}

@Article{Weniger/1996d,
  author =	 {Weniger, E. J.},
  title =	 {{C}omputation of the {W}hittaker function of the second
                  kind by summing its divergent asymptotic series with
                  the help of nonlinear sequence transformations},
  journal =	 {Comput. Phys.},
  year =	 {1996},
  volume =	 {10},
  pages =	 {496 - 503}
}

@Article{Weniger/1996e,
  author =	 {Weniger, E. J.},
  title =	 {{C}onstruction of the strong coupling expansion for the
                  ground state energy of the quartic, sextic and octic
                  anharmonic oscillator via a renormalized strong
                  coupling expansion},
  journal =	 {Phys. Rev. Lett.},
  year =	 {1996},
  volume =	 {77},
  pages =	 {2859 - 2862}
}

@Article{Weniger/1997,
  author =	 {Weniger, E. J.},
  title =	 {Performance of superconvergent perturbation theory},
  journal =	 {Phys. Rev. A},
  year =	 {1997},
  volume =	 {56},
  pages =	 {5165 - 5168}
}

@Article{Weniger/2000b,
  author =	 {Weniger, E. J.},
  title =	 {Prediction properties of {A}itken's iterated
                  {$\Delta^2$} process, of {W}ynn's epsilon algorithm,
                  and of {B}rezinski's iterated theta algorithm},
  journal =	 {J. Comput. Appl. Math.},
  year =	 {2000},
  volume =	 {122},
  pages =	 {329 - 356},
  note =	 {Reprinted as \cite{Weniger/2000c}}
}

@InCollection{Weniger/2000c,
  author =	 {Weniger, E. J.},
  title =	 {Prediction properties of {A}itken's iterated
                  {$\Delta^2$} process, of {W}ynn's epsilon algorithm,
                  and of {B}rezinski's iterated theta algorithm},
  booktitle =	 {Numerical Analysis 2000, Vol.\ 2: Interpolation and
                  Extrapolation},
  editor =	 {Brezinski, C.},
  year =	 {2000},
  pages =	 {329 - 356},
  publisher =	 {Elsevier},
  address =	 {Amsterdam}
}

@Article{Weniger/2001,
  author =	 {Weniger, E. J.},
  title =	 {Irregular input data in convergence acceleration and
                  summation processes: General considerations and some
                  special {G}aussian hypergeometric series as model
                  problems},
  journal =	 {Comput. Phys. Commun.},
  year =	 {2001},
  volume =	 {133},
  pages =	 {202 - 228}
}

@Article{Weniger/2003,
  author =	 {Weniger, E. J.},
  title =	 {A rational approximant for the digamma function},
  journal =	 {Numer. Algor.},
  year =	 {2003},
  volume =	 {33},
  pages =	 {499 - 507}
}

@Article{Weniger/2004,
  author =	 {Weniger, E. J.},
  title =	 {Mathematical properties of a new {L}evin-type sequence
                  transformation introduced by {{\v{C}}\'{\i}\v{z}ek},
                  {Z}amastil, and {Sk\'{a}la}. {I}. {A}lgebraic theory},
  journal =	 {J. Math. Phys.},
  year =	 {2004},
  volume =	 {45},
  pages =	 {1209 - 1246}
}

@InProceedings{Weniger/2007a,
  author =	 {Weniger, E. J.},
  title =	 {Asymptotic approximations to truncation errors of
                  series representations for special functions},
  booktitle =	 {Algorithms for Approximation},
  editor =	 {Iske, A. and Levesley, J.},
  year =	 {2007},
  pages =	 {331 - 348},
  publisher =	 {Springer-Verlag},
  address =	 {Berlin}
}

@Misc{Weniger/2007b,
  author =	 {Weniger, E. J.},
  title =	 {Extended {C}omment on {``One-Range Addition Theorems
                  for Coulomb Interaction Potential and Its Derivatives''
                  by I.\ I.\ Guseinov (Chem. Phys. Vol. 309 (2005),
                  pp. 209 - 213)}},
  year =	 {2007},
  howpublished = {{L}os Alamos Preprint \texttt{arXiv:0704.1088v3
                  [math-ph]} \texttt{(http://arXiv.org)}}
}

@Misc{Weniger/2007c,
  author =	 {Weniger, E. J.},
  title =	 {{Reply to ``Extended Rejoinder to ``Extended Comment on
                  "One-Range Addition Theorems for Coulomb Interaction
                  Potential and Its Derivatives'' by I. I. Guseinov
                  (Chem. Phys., Vol. 309 (2005), pp. 209-213)'',
                  arXiv:0706.0975v2''}},
  year =	 {2007},
  howpublished = {{L}os Alamos Preprint \texttt{arXiv:0707.3361v1
                  [math-ph]} \texttt{(http://arXiv.org)}}
}

@Misc{Weniger/2007d,
  author =	 {Weniger, E. J.},
  title =	 {Further Discussion of Sequence Transformation Methods},
  year =	 {2007},
  howpublished = {Subtopic ``Related Resources'' (R1) on the Numerical
                  Recipes (Third Edition) Webnotes page
                  \texttt{http://www.nr.com/webnotes/}}
}

@Misc{Weniger/2008a*,
  author =	 {Weniger, E. J.},
  title =	 {One-range and two-range addition theorems},
  year =	 {2008},
  howpublished = {Topical review for Journal of Physics A, in
                  preparation}
}

@Article{Weniger/Cizek/1990,
  author =	 {Weniger, E. J. and {\v{C}\'{\i}\v{z}ek}, J.},
  title =	 {Rational approximations for the modified {B}essel
                  function of the second kind},
  journal =	 {Comput. Phys. Commun.},
  year =	 {1990},
  volume =	 {59},
  pages =	 {471 - 493}
}

@Article{Weniger/Cizek/Vinette/1991,
  author =	 {Weniger, E. J. and {\v{C}\'{\i}\v{z}ek}, J. and
                  Vinette, F.},
  title =	 {Very accurate summation for the infinite coupling limit
                  of the perturbation series expansions of anharmonic
                  oscillators},
  journal =	 {Phys. Lett. A},
  year =	 {1991},
  volume =	 {156},
  pages =	 {169 - 174}
}

@Article{Weniger/Cizek/Vinette/1993,
  author =	 {Weniger, E. J. and {\v{C}\'{\i}\v{z}ek}, J. and
                  Vinette, F.},
  title =	 {The summation of the ordinary and renormalized
                  perturbation series for the ground state energy of the
                  quartic, sextic, and octic anharmonic oscillators using
                  nonlinear sequence transformations},
  journal =	 {J. Math. Phys.},
  year =	 {1993},
  volume =	 {34},
  pages =	 {571 - 609}
}

@Article{Weniger/Grotendorst/Steinborn/1986a,
  author =	 {Weniger, E. J. and Grotendorst, J. and Steinborn,
                  E. O.},
  title =	 {Some applications of nonlinear convergence
                  accelerators},
  journal =	 {Int. J. Quantum Chem. Symp.},
  year =	 {1986},
  volume =	 {19},
  pages =	 {181 - 191}
}

@Article{Weniger/Kirtman/2003,
  author =	 {Weniger, E. J. and Kirtman, B.},
  title =	 {Extrapolation methods for improving the convergence of
                  oligomer calculations to the infinite chain limit of
                  \emph{quasi}-onedimensional stereoregular polymers},
  journal =	 {Comput. Math. Applic.},
  year =	 {2003},
  volume =	 {45},
  pages =	 {189 - 215}
}

@Article{Weniger/Liegener/1990,
  author =	 {Weniger, E. J. and Liegener, {C.-M.}},
  title =	 {Extrapolation of finite cluster and crystal-orbital
                  calculations on trans-polyacetylene},
  journal =	 {Int. J. Quantum Chem.},
  year =	 {1990},
  volume =	 {38},
  pages =	 {55 - 74}
}

@Article{Weniger/Steinborn/1988,
  author =	 {Weniger, E. J. and Steinborn, E. O.},
  title =	 {Overlap integrals of {$B$} functions. {A} numerical
                  study of infinite series representations and integral
                  representations},
  journal =	 {Theor. Chim. Acta},
  year =	 {1988},
  volume =	 {73},
  pages =	 {323 - 336}
}

@InCollection{Weniger/Steinborn/1989a,
  author =	 {Weniger, E. J. and Steinborn, E. O.},
  title =	 {Nonlinear sequence transformations for the efficient
                  evaluation of auxiliary functions for {GTO} molecular
                  integrals},
  booktitle =	 {Numerical Determination of the Electronic Structure of
                  Atoms, Diatomic and Polyatomic Molecules},
  editor =	 {Defranceschi, M. and Delhalle, J.},
  year =	 {1989},
  pages =	 {341 - 346},
  publisher =	 {Kluwer},
  address =	 {Dordrecht}
}

@Book{Wimp/1981,
  author =	 {Wimp, J.},
  title =	 {Sequence Transformations and Their Applications},
  year =	 {1981},
  publisher =	 {Academic Press},
  address =	 {New York}
}

@Article{Wynn/1956a,
  author =	 {Wynn, P.},
  title =	 {On a device for computing the {$e_m (S_n)$}
                  transformation},
  journal =	 {Math. Tables Aids Comput.},
  year =	 {1956},
  volume =	 {10},
  pages =	 {91 - 96}
}

@Book{Zayed/1996,
  author =	 {Zayed, A. I.},
  title =	 {Handbook of Function and Generalized Function
                  Transformations},
  year =	 {1996},
  publisher =	 {CRC Press},
  address =	 {Boca Raton}
}

@Book{Zeller/Beekmann/1970,
  author =	 {Zeller, K. and Beekmann, W.},
  title =	 {Theorie der {L}imitierungsverfahren},
  year =	 {1970},
  publisher =	 {Springer-Verlag},
  address =	 {Berlin}
}