Elliptic hypergeometric series on root systems

Details Elliptic hypergeometric series on root systems Elliptic hypergeometric series on root systems

2002-07-04

arxiv.org/abs/math/0207046v1

Adv. Math. 181 (2004), 417-447

Mathematics

Classical Analysis and ODEs

27 pages

Scientific paper

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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