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Multilateral basic hypergeometric summation identities and hyperoctahedral group symmetries (1002.4468v1)
Published 24 Feb 2010 in math.CO and math.NT
Abstract: 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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