paper

Extensions of the well-poised and elliptic well-poised Bailey lemma

arXiv:math/0309241

Abstract

We establish a number of extensions of the well-poised Bailey lemma and elliptic well-poised Bailey lemma. As application we prove some new transformation formulae for basic and elliptic hypergeometric series, and embed some recent identities of Andrews, Berkovich and Spiridonov in a well-poised Bailey tree.

16 pages, AMS-LaTeX, to appear in Indag. Math. (N.S.)