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

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

2003-09-15

arxiv.org/abs/math/0309241v1

Indag. Math. (N.S.) 14 (2003), 571-588

Mathematics

Classical Analysis and ODEs

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

Scientific paper

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.

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