Rational Hypergeometric Identities

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...

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Bibliographic Details
Published in:Functional analysis and its applications 2021-07, Vol.55 (3), p.250-255
Main Authors: Sarkissian, G. A., Spiridonov, V. P.
Format: Article
Language:English
Subjects:
14/34
639/766/189
639/766/530
639/766/747
Analysis
Functional Analysis
Gamma function
Hyperbolic functions
Integrals
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0016-2663
1573-8485
DOI:10.1134/S0016266321030096