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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 3, Pages 645–658
DOI: https://doi.org/10.33048/smzh.2022.63.313 (Mi smj7683) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the properties of meromorphic solutions to difference equations and gamma-type solutions

P. V. Trishin

Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk
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DOI: https://doi.org/10.33048/smzh.2022.63.313
Abstract: We pose the problem of finding meromorphic solutions to a difference equation, reveal the geometric properties of their polar sets, and describe a class of solutions (the gamma-type solutions).
Keywords: difference equation, meromorphic solution, gamma-function.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-876
This work is supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation (Agreement 075–02–2022–876).
Received: 27.07.2021
Revised: 13.12.2021
Accepted: 10.02.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 3, Pages 535–547
DOI: https://doi.org/10.1134/S0037446622030132
Bibliographic databases:
Document Type: Article
UDC: 517
MSC: 35R30
Language: Russian
Citation: P. V. Trishin, “On the properties of meromorphic solutions to difference equations and gamma-type solutions”, Sibirsk. Mat. Zh., 63:3 (2022), 645–658; Siberian Math. J., 63:3 (2022), 535–547
Citation in format AMSBIB
\Bibitem{Tri22}
\by P.~V.~Trishin
\paper On the properties of meromorphic solutions to difference equations and gamma-type solutions
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 3
\pages 645--658
\mathnet{http://mi.mathnet.ru/smj7683}
\crossref{https://doi.org/10.33048/smzh.2022.63.313}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4443250}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 3
\pages 535--547
\crossref{https://doi.org/10.1134/S0037446622030132}
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    • This publication is cited in the following 1 articles:
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