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arXiv · 2012.10265

Rational hypergeometric identities

Gor A. Sarkissian·Vyacheslav P. Spiridonov
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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.

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Gor A. Sarkissian, Vyacheslav P. Spiridonov. 2020-12-18. Rational hypergeometric identities. https://doi.org/10.4213/faa3866

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