Karlsson--Minton type hypergeometric functions on the root system \(C_{n}\)

DOI10.1016/S0022-247X(03)00103-3zbMath1032.33013arXivmath/0205108MaRDI QIDQ1399323

Hjalmar Rosengren

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205108

zbMATH Keywords

basic hypergeometric series

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Basic hypergeometric functions associated with root systems (33D67)

Related Items

Extensions of Karlsson–Minton summation theorem and some consequences of the first Miller–Paris transformation, New transformations for elliptic hypergeometric series on the root system \(A_n\), Kernel identities for van Diejen's \(q\)-difference operators and transformation formulas for multiple basic hypergeometric series, Alternative Approach to Miller-Paris Transformations and Their Extensions, An (inverse) Pieri formula for Macdonald polynomials of type \(C\), On Warnaar's elliptic matrix inversion and Karlsson--Minton-type elliptic hypergeometric series, Duality transformation formulas for multiple elliptic hypergeometric series of type \(BC\), Some summation theorems for generalized hypergeometric functions

Cites Work

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• Elementary derivations of identities for bilateral basic hypergeometric series
• Euler transformation formula for multiple basic hypergeometric series of type \(A\) and some applications
• Consequences of the \(A_ l\) and \(C_ l\) Bailey transform and Bailey lemma
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