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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67791A 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. MathClassical Analysis and ODEsQuantum AlgebraMultiple elliptic hypergeometric series --An approach from the Cauchy determinant--text