|
Special functions, q-series, and related topics / Mourad E. H. Ismail, David R. Masson, Mizan Rahman, editors.
— Providence, R.I. : American Mathematical Society, c1997. x, 277 p. : il. ; 26 cm. — (Fields Institute communications, ISSN 1069-5265 ; v. 14)
"Contributions from the proceedings at The Fields Institute workshop ... held at the University of Toronto, June 12-23, 1995."
Incluye referencias bibliográficas.
Contenido: 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.
ISBN 082180524X
|