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

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

2003-06-13

arxiv.org/abs/math/0306219v2

Mathematics

Classical Analysis and ODEs

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

Scientific paper

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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