Multivariate basic hypergeometric series associated to root systems of type Am

Research output: Contribution to journalArticle

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 Am. In this paper we give a detailed proof of the multivariate basic hypergeometric series obtained in [Ann. Comb. 4 (2000) 347-373].

Original languageEnglish
Pages (from-to)181-195
Number of pages15
JournalJournal of Mathematical Analysis and Applications
Volume294
Issue number1
DOIs
Publication statusPublished - Jun 1 2004

Fingerprint

Basic Hypergeometric Series
Root System

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Multivariate basic hypergeometric series associated to root systems of type Am . / Rakha, Medhat A.

In: Journal of Mathematical Analysis and Applications, Vol. 294, No. 1, 01.06.2004, p. 181-195.

Research output: Contribution to journalArticle

@article{d3adf34a91df495baa17f5a82cc7eeb5,
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].",
keywords = "Hypergeometric series very well poised on Lie algebras, Integral transformations, q-beta integrals, q-series",
author = "Rakha, {Medhat A.}",
year = "2004",
month = "6",
day = "1",
doi = "10.1016/j.jmaa.2004.02.007",
language = "English",
volume = "294",
pages = "181--195",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",

}

TY - JOUR

T1 - Multivariate basic hypergeometric series associated to root systems of type Am

AU - Rakha, Medhat A.

PY - 2004/6/1

Y1 - 2004/6/1

N2 - 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].

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

UR - http://www.scopus.com/inward/record.url?scp=3242706541&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3242706541&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2004.02.007

DO - 10.1016/j.jmaa.2004.02.007

M3 - Article

VL - 294

SP - 181

EP - 195

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -