Multilateral basic hypergeometric summation identities and hyperoctahedral group symmetries

Details Multilateral basic hypergeometric summation identities and hyperoctahedral group symmetries Multilateral basic hypergeometric summation identities and hyperoctahedral group symmetries

2010-02-24

arxiv.org/abs/1002.4468v1

Mathematics

Combinatorics

9 pages

Scientific paper

We give new proofs for certain bilateral basic hypergeometric summation
formulas using the symmetries of the corresponding series. In particular, we
present a proof for Bailey's $_3\psi_3$ summation formula as an application. We
also prove a multiple series analogue of this identity by considering
hyperoctahedral group symmetries of higher ranks.

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