Some basic extensions of Gustafson-Rakha's multivariate basic hypergeometric series

DOI10.1007/s00026-002-8035-yzbMath1023.33014OpenAlexW2129735422MaRDI QIDQ1865123

Medhat A. Rakha

Publication date: 25 March 2003

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-002-8035-y

zbMATH Keywords

\(q\)-seriesintegral transformationbasic hypergeometric series\(q\)-beta integralshypergeometric series very well poised on Lie algebrasbasic Gauss' sumbasic Jackson's sum

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Basic hypergeometric functions associated with root systems (33D67)

Related Items

Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n) ⋮ Multivariate basic hypergeometric series associated to root systems of type \(A_{m}\) ⋮ Application of basic hypergeometric series. ⋮ Numerical computations of infinite products