Rational hypergeometric identities
Classical Analysis and ODEs
2021-12-30 v2 Mathematical Physics
math.MP
Abstract
A special singular limit is considered for the Faddeev modular quantum dilogarithm (hyperbolic gamma function) and the corresponding hyperbolic integrals. It brings a new class of hypergeometric identities associated with bilateral sums of Mellin-Barnes type integrals of particular Pochhammer symbol products.
Cite
@article{arxiv.2012.10265,
title = {Rational hypergeometric identities},
author = {Gor A. Sarkissian and Vyacheslav P. Spiridonov},
journal= {arXiv preprint arXiv:2012.10265},
year = {2021}
}
Comments
6 pages, published version