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arXiv:math/0207046 [math.CA]AbstractReferencesReviewsResources

Elliptic hypergeometric series on root systems

Hjalmar Rosengren

Published 2002-07-04Version 1

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.

Comments: 27 pages
Journal: Adv. Math. 181 (2004), 417-447
Categories: math.CA, math.QA
Subjects: 33D67, 11F50
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