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arXiv · math/0304249

Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations

Hjalmar Rosengren·Michael Schlosser
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Abstract

Using multiple q-integrals and a determinant evaluation, we establish a multivariable extension of Bailey's nonterminating 10-phi-9 transformation. From this result, we deduce new multivariable terminating 10-phi-9 transformations, 8-phi-7 summations and other identities. We also use similar methods to derive new multivariable 1-psi-1 summations. Some of our results are extended to the case of elliptic hypergeometric series.

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Hjalmar Rosengren, Michael Schlosser. 2003-04-18. Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations. https://doi.org/10.1016/s0019-3577(03)90058-9

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