Multiple elliptic hypergeometric series --An approach from the Cauchy determinant--
arXiv:math/0306219
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.
A few typos were corrected. We added our multiple Bailey transformation formulas in the trigonometric (basic) case. to appear in Indag. Math