Multiple elliptic hypergeometric series --An approach from the Cauchy determinant--
Classical Analysis and ODEs
2007-05-23 v2 Quantum Algebra
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.
Cite
@article{arxiv.math/0306219,
title = {Multiple elliptic hypergeometric series --An approach from the Cauchy determinant--},
author = {Yasushi Kajihara and Masatoshi Noumi},
journal= {arXiv preprint arXiv:math/0306219},
year = {2007}
}
Comments
A few typos were corrected. We added our multiple Bailey transformation formulas in the trigonometric (basic) case. to appear in Indag. Math