Multivariate basic hypergeometric series associated to root systems of type \(A_{m}\)

DOI10.1016/j.jmaa.2004.02.007zbMath1049.33015OpenAlexW2078774709MaRDI QIDQ596705

Medhat A. Rakha

Publication date: 10 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.02.007

zbMATH Keywords

\(q\)-seriesintegral transformations\(q\)-beta integralshypergeometric series very well poised on Lie algebrasmultivariate basic hypergeometric series associated with root systems

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) (q)-gamma functions, (q)-beta functions and integrals (33D05) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Basic hypergeometric functions associated with root systems (33D67) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items

Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n)

Cites Work

• Orthogonal polynomials associated with root systems
• Some basic extensions of Gustafson-Rakha's multivariate basic hypergeometric series
• Three Identities in Combinatory Analysis
• \(q\)-beta integrals and multivariate basic hypergeometric series associated to root systems of type \(A_m\)