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New transformations for elliptic hypergeometric series on the root system An

Hjalmar Rosengren
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Abstract

Recently, Kajihara gave a Bailey-type transformation relating basic hypergeometric series on the root system An, with different dimensions n. We give, with a new, elementary, proof, an elliptic analogue 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.

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Hjalmar Rosengren. 2003-05-27. New transformations for elliptic hypergeometric series on the root system An. https://arxiv.org/abs/math/0305379

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