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Multiple elliptic hypergeometric series. An approach from the Cauchy determinant

Authors
Journal
Indagationes Mathematicae
0019-3577
Publisher
Elsevier
Publication Date
Volume
14
Identifiers
DOI: 10.1016/s0019-3577(03)90054-1
Disciplines
  • Mathematics

Abstract

Abstract A multiple generalization of elliptic hypergeometric series is studied through the Cauchy determinant for the Weierstrass sigma function. In particular, a duality transformation for multiple hypergeometric series is proposed. As an application, two types of Bailey transformations for very well-poised multiple elliptic hypergeometric series are derived.

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