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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164380We 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.)Classical Analysis and ODEsCombinatorics33D15; 33E05Extensions of the well-poised and elliptic well-poised Bailey lemmatext