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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2022 Volume 63, Number 3, Pages 645–658 (Mi smj7683)
This article is cited 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

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.

UDC: 517

MSC: 35R30

Received: 27.07.2021
Revised: 13.12.2021
Accepted: 10.02.2022

DOI: 10.33048/smzh.2022.63.313


 English version: Siberian Mathematical Journal, 2022, 63:3, 535–547

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© Steklov Math. Inst. of RAS, 2024