| 1. |
- Rosengren, Hjalmar, 1972
(författare)
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Karlsson-Minton type hypergeometric functions on the root system Cn
- 2003
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Ingår i: Journal of Mathematical Analysis and Applications. ; 281, s. 332-345
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Tidskriftsartikel (refereegranskat)abstract
- We prove a reduction formula for Karlsson-Minton type hypergeometric series on the root system C_n and derive some consequences of this identity. In particular, when combined with a similar reduction formula for A_n, it implies a C_n Watson transformation due to Milne and Lilly.
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| 2. |
- Rosengren, Hjalmar, 1972, et al.
(författare)
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On a hypergeometric identity of Gelfand, Graev and Retakh
- 2003
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Ingår i: Journal of Computational and Applied Mathematics. ; 160, s. 147-158
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Tidskriftsartikel (refereegranskat)abstract
- A hypergeometric identity equating a triple sum to a single sum, originally found by Gelfand, Graev and Retakh [Russian Math. Surveys 47 (1992), 1-88] by using systems of differential equations, is given hypergeometric proofs. As a bonus, several q-analogues can be derived.
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| 3. |
- Rosengren, Hjalmar, 1972, et al.
(författare)
-
Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations
- 2003
-
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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