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

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

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Classical Analysis and ODEs, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/67791

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306219
 http://arxiv.org/abs/math/0306219

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arXiv