Multiple elliptic hypergeometric series. An approach from the Cauchy determinant |
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| Authors: | Yasushi Kajihara Masatoshi Noumi |
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| Institution: | a Department of Mathematics, Graduate School of Science, Osaka University, Japan;b Department of Mathematics, Graduate School of Science and Technology, Kobe University, USA |
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| Abstract: | A multiple generalization of elliptic hypergeometric series is studied through the Cauchy determinant for the Weierstrass sigma function. In particular, a duality transformation for multiple hypergeometric series is proposed. As an application, two types of Bailey transformations for very well-poised multiple elliptic hypergeometric series are derived. |
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