Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations
Journal article, 2003

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.


Hjalmar Rosengren

Chalmers, Department of Mathematics

University of Gothenburg

Michael Schlosser

Indagationes Mathematicae

Vol. 14 483-514

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