Summations and Transformations for Multiple Basic and Elliptic Hypergeometric Series by Determinant Evaluations
نویسندگان
چکیده
Abstract. Using multiple q-integrals and a determinant evaluation, we establish a multivariable extension of Bailey’s nonterminating 10φ9 transformation. From this result, we deduce new multivariable terminating 10φ9 transformations, 8φ7 summations and other identities. We also use similar methods to derive new multivariable 1ψ1 and 6ψ6 summations. Some of our results are extended to the case of elliptic hypergeometric series.
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تاریخ انتشار 2003