Multiple elliptic hypergeometric series --An approach from the Cauchy determinant--

2003/06/13 by Yasushi Kajihara, Kajihara, Yasushi, Masatoshi Noumi +1
Computer Science · Mathematics · #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Polynomial and algebraic computation #Quantum Algebra (math.QA) #math.CA #math.QA

paper · pdf · doi:10.48550/arxiv.math/0306219

A few typos were corrected. We added our multiple Bailey transformation formulas in the trigonometric (basic) case. to appear in Indag. Math

openalex publication_date 2003/06/13 · arxiv created 2003/08/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A multiple generalization of elliptic hypergeometric series is investigated and a duality transformation for multiple hypergeometric series is proposed. Our duality transformation obtained from an identity arising from the Cauchy determinant formula for Weierstrass sigma functions, by spcialization of a particular form.

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