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On the Properties of Meromorphic Solutions to Difference Equations and Gamma-Type Solutions

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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).

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Funding

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).

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Authors and Affiliations

  1. Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia

    P. V. Trishin

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  1. P. V. Trishin
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Correspondence to P. V. Trishin.

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Translated from Sibirskii Matematicheskii Zhurnal, 2022, Vol. 63, No. 3, pp. 645–658. https://doi.org/10.33048/smzh.2022.63.313

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Trishin, P.V. On the Properties of Meromorphic Solutions to Difference Equations and Gamma-Type Solutions. Sib Math J 63, 535–547 (2022). https://doi.org/10.1134/S0037446622030132

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  • DOI: https://doi.org/10.1134/S0037446622030132

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