Rational hypergeometric identities

Abstract

A special singular limit ${\omega }_1/{\omega }_2\to 1$ 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.

arXiv comment6 pages, published version

References in corpus (3)

• Discrete Heisenberg-Weyl Group and Modular Group
• Essays on the theory of elliptic hypergeometric functions
• The Endless Beta Integrals

Cited by in corpus (1)

• On Bailey pairs for $\mathcal{N}=2$ supersymmetric gauge theories on $S_b^3/{\mathbb{Z}}_r$