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Elliptic hypergeometric series on root systems

Hjalmar Rosengren
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Abstract

We derive a number of summation and transformation formulas for elliptic hypergeometric series on the root systems A_n, C_n and D_n. In the special cases of classical and q-series, our approach leads to new elementary proofs of the corresponding identities.

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Hjalmar Rosengren. 2002-07-04. Elliptic hypergeometric series on root systems. https://arxiv.org/abs/math/0207046

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