Extensions of the well-poised and elliptic well-poised Bailey lemma |
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| Authors: | S Ole Warnaar |
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| Institution: | Department of Mathematics and Statistics, The University of Melbourne, Vic 3010, Australia |
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| 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 hyper-geometric series, and embed some recent identities of Andrews, Berkovich and Spiridonov in a well-poised Bailey tree. |
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| Keywords: | Author Keywords: Well-poised Bailey lemma basic hypergeometric series elliptic hyper-geometric series |
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