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- Rosengren, Hjalmar, 1972-, et al.
(författare)
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Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations
- 2003
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Ingår i: Indagationes Mathematicae. ; 14, s. 483-514
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Tidskriftsartikel (refereegranskat)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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