Multivariate basic hypergeometric series associated to root systems of type Am

Medhat A. Rakha

doi:10.1016/j.jmaa.2004.02.007

Multivariate basic hypergeometric series associated to root systems of type A_m

Medhat A. Rakha^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In previous paper [Ann. Comb. 4 (2000) 347-373], we established and proved two new q-beta integrals and two multivariate basic hypergeometric series associated with the root system of A_m. In this paper we give a detailed proof of the multivariate basic hypergeometric series obtained in [Ann. Comb. 4 (2000) 347-373].

Original language	English
Pages (from-to)	181-195
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	294
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2004.02.007
Publication status	Published - Jun 1 2004
Externally published	Yes

Keywords

Hypergeometric series very well poised on Lie algebras
Integral transformations
q-beta integrals
q-series

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2004.02.007

Cite this

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title = "Multivariate basic hypergeometric series associated to root systems of type Am",

abstract = "In previous paper [Ann. Comb. 4 (2000) 347-373], we established and proved two new q-beta integrals and two multivariate basic hypergeometric series associated with the root system of Am. In this paper we give a detailed proof of the multivariate basic hypergeometric series obtained in [Ann. Comb. 4 (2000) 347-373].",

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AB - In previous paper [Ann. Comb. 4 (2000) 347-373], we established and proved two new q-beta integrals and two multivariate basic hypergeometric series associated with the root system of Am. In this paper we give a detailed proof of the multivariate basic hypergeometric series obtained in [Ann. Comb. 4 (2000) 347-373].

KW - Hypergeometric series very well poised on Lie algebras

KW - Integral transformations

KW - q-beta integrals

KW - q-series

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