Special functions, q-series, and related topics / Mourad E. H. Ismail, David R. Masson, Mizan Rahman, editors.

Colaborador(es): Ismail, Mourad, 1944- [edt] | Masson, David R, 1937- [edt] | Rahman, Mizan [edt]Series Fields Institute communications, v. 14Editor: Providence, R.I. : American Mathematical Society, c1997Descripción: x, 277 p. : il. ; 26 cmISBN: 082180524XOtra clasificación: 33-06 (05A15 05A17 11P83 42C05 68W30 05A19 05A30 11R04 17B37 40A15)
Contenidos:
Krishnaswami Alladi, Refinements of Rogers-Ramanujan type identitiesBruce C. Berndt, Heng Huat Chan and Liang-Cheng Zhang, Ramanujan's class invariants with applications to the values of $q$-continued fractions and theta functionsGeorge Gasper, Elementary derivations of summation and transformation formulas for $q$-seriesR. Wm. Gosper, Jr., $ int{m/6}_{n/4} ln Gamma(z)dz$F. Alberto Grünbaum and Luc Haine, On a $q$-analogue of Gauss equation and some $q$-Riccati equationsRobert A. Gustafson and Christian Krattenthaler, Determinant evaluations and $U(n)$ extensions of Heine's $_2 phi_1$-transformationsMourad E. H. Ismail, David R. Masson and Sergei K. Suslov, Some generating functions for $q$-polynomialsErik Koelink [H. Tjerk Koelink], Addition formulas for $q$-special functionsTom H. Koornwinder, Special functions and $q$-commuting variablesMasatoshi Noumi, Mathijs S. Dijkhuizen and Tetsuya Sugitani, Multivariable Askey-Wilson polynomials and quantum complex GrassmanniansPeter Paule and Axel Riese, A Mathematica $q$-analogue of Zeilberger's algorithm based on an algebraically motivated approach to $q$-hypergeometric telescopingWalter Van Assche, Orthogonal polynomials in the complex plane and on the real lineYuan Xu, On orthogonal polynomials in several variables.
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"Contributions from the proceedings at The Fields Institute workshop ... held at the University of Toronto, June 12-23, 1995."

Incluye referencias bibliográficas.

Krishnaswami Alladi, Refinements of Rogers-Ramanujan type identities -- Bruce C. Berndt, Heng Huat Chan and Liang-Cheng Zhang, Ramanujan's class invariants with applications to the values of $q$-continued fractions and theta functions -- George Gasper, Elementary derivations of summation and transformation formulas for $q$-series -- R. Wm. Gosper, Jr., $ int{m/6}_{n/4} ln Gamma(z)dz$ -- F. Alberto Grünbaum and Luc Haine, On a $q$-analogue of Gauss equation and some $q$-Riccati equations -- Robert A. Gustafson and Christian Krattenthaler, Determinant evaluations and $U(n)$ extensions of Heine's $_2 phi_1$-transformations -- Mourad E. H. Ismail, David R. Masson and Sergei K. Suslov, Some generating functions for $q$-polynomials -- Erik Koelink [H. Tjerk Koelink], Addition formulas for $q$-special functions -- Tom H. Koornwinder, Special functions and $q$-commuting variables -- Masatoshi Noumi, Mathijs S. Dijkhuizen and Tetsuya Sugitani, Multivariable Askey-Wilson polynomials and quantum complex Grassmannians -- Peter Paule and Axel Riese, A Mathematica $q$-analogue of Zeilberger's algorithm based on an algebraically motivated approach to $q$-hypergeometric telescoping -- Walter Van Assche, Orthogonal polynomials in the complex plane and on the real line -- Yuan Xu, On orthogonal polynomials in several variables.

MR, 97k:33001

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