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Funktsional'nyi Analiz i ego Prilozheniya, 2021, Volume 55, Issue 3, Pages 91–97
DOI: https://doi.org/10.4213/faa3866 (Mi faa3866) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Brief communications

Rational hypergeometric identities

G. A. Sarkissianabc, V. P. Spiridonovab

a Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Dubna, Moscow Region
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
c Faculty of Physics, Yerevan State University
Full-text PDF (466 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa3866
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.
Keywords: modular quantum dilogarithm, hyperbolic gamma function, hypergeometric identities.
Funding agency Grant number
Russian Science Foundation 19-11-00131
Received: 08.12.2020
Revised: 08.12.2020
Accepted: 01.02.2021
English version:
Functional Analysis and Its Applications, 2021, Volume 55, Issue 3, Pages 250–255
DOI: https://doi.org/10.1134/S0016266321030096
Bibliographic databases:
Document Type: Article
UDC: 517.588
Language: Russian
Citation: G. A. Sarkissian, V. P. Spiridonov, “Rational hypergeometric identities”, Funktsional. Anal. i Prilozhen., 55:3 (2021), 91–97; Funct. Anal. Appl., 55:3 (2021), 250–255
Citation in format AMSBIB
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\paper Rational hypergeometric identities
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\pages 91--97
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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