Multilateral basic hypergeometric summation identities and hyperoctahedral group symmetries
Combinatorics
2010-02-25 v1 Number Theory
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 summation formula as an application. We also prove a multiple series analogue of this identity by considering hyperoctahedral group symmetries of higher ranks.
Cite
@article{arxiv.1002.4468,
title = {Multilateral basic hypergeometric summation identities and hyperoctahedral group symmetries},
author = {Hasan Coskun},
journal= {arXiv preprint arXiv:1002.4468},
year = {2010}
}
Comments
9 pages