New transformations for elliptic hypergeometric series on the root system A
n |
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| Authors: | Hjalmar Rosengren |
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| Institution: | 1. Department of Mathematics, Chalmers University of Technology and G?teborg University, SE-412 96, G?teborg, Sweden
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| Abstract: | Recently, Kajihara gave a Bailey-type transformation relating basic hypergeometric series on the root system A
n
, with different dimensions n. We give, with a new, elementary proof, an elliptic extension of this transformation. We also obtain further Bailey-type
transformations as consequences of our result, some of which are new also in the case of basic and classical hypergeometric
series.
2000 Mathematics Subject Classification Primary—33D67; Secondary—11F50 |
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| Keywords: | Elliptic hypergeometric series Hypergeometric series on root systems A n hypergeometric series Multiple Bailey transformation |
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