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Special functions, q-series, and related topics

Author: Mourad Ismail; David R Masson; Mizan Rahman
Publisher: Providence, R.I. : American Mathematical Society, ©1997.
Series: Fields Institute communications, v. 14.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book contains contributions from the proceedings at The Fields Institute workshop on Special Functions, q-Series and Related Topics that was held in June 1995. The articles cover areas from quantum groups and their representations, multivariate special functions, q-series, and symbolic algebra techniques as well as the traditional areas of single-variable special functions. The book contains both pure and  Read more...
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Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mourad Ismail; David R Masson; Mizan Rahman
ISBN: 082180524X 9780821805244
OCLC Number: 956674905
Description: 1 online resource.
Contents: Refinements of Rogers-Ramanujan type identities Ramanujan's class invariants with applications to the values of $q$-continued fractions and theta functions Elementary derivations of summation and transformation formulas for $q$-series $\int ^{m/6}_{n/4} \ln \Gamma (z)dz$ On a $q$-analogue of Gauss equation and some $q$-Riccati equations Determinant evaluations and $U(n)$ extensions of Heine's $_2\phi _1$-transformations Some generating functions for $q$-polynomials Addition formulas for $q$-special functions Special functions and $q$-commuting variables Multivariable Askey-Wilson polynomials and quantum complex Grassmannians A Mathematica $q$-analogue of Zeilberger's algorithm based on an algebraically motivated approach to $q$-hypergeometric telescoping Orthogonal polynomials in the complex plane and on the real line On orthogonal polynomials in several variables Program list of speakers and topics List of participants.
Series Title: Fields Institute communications, v. 14.
Responsibility: Mourad E.H. Ismail, David R. Masson, Mizan Rahman, editors.

Abstract:

This book contains contributions from the proceedings at The Fields Institute workshop on Special Functions, q-Series and Related Topics that was held in June 1995. The articles cover areas from quantum groups and their representations, multivariate special functions, q-series, and symbolic algebra techniques as well as the traditional areas of single-variable special functions. The book contains both pure and applied topics and reflects recent trends of research in the various areas of special functions.

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