Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
type: Item
instance of: scholarly article
title: Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
zbMATH Open document ID: 1051.33009
DOI: 10.1016/S0019-3577(03)90054-1
author: Yasushi Kajihara
author: M. Noumi
published in: Indagationes Mathematicae. New Series
publication date: 2004-06-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0306219
review text: The authors investigate a multiple generalization of elliptic hypergeometric series via the Cauchy determinant for the Weierstrass sigma function. They derive a duality transformation for multiple hypergeometric series. Then they use this result to obtain various transformation and summation formulas for very well-poised multiple hypergeometric series. Some of them seem to be new.
Mathematics Subject Classification ID: 33C70
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 33D67
zbMATH DE Number: 2077012
zbMATH Keywords: multiple elliptic hypergeometric series
zbMATH Keywords: Cauchy determinant formula
zbMATH Keywords: Bailey transformation
zbMATH Keywords: duality transformation
zbMATH Keywords: very well-poised multiple hypergeometric series
reviewed by: Youssèf Ben Cheikh
MaRDI profile type: Publication
arXiv ID: math/0306219
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description: scientific article