Email this article Solution of Functional Equations Related to Elliptic Functions
- Authors: Illarionov A.A.1
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Affiliations:
- Khabarovsk Division of the Institute of Applied Mathematics
- Issue: Vol 299, No 1 (2017)
- Pages: 96-108
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175126
- DOI: https://doi.org/10.1134/S0081543817080065
- ID: 175126
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Abstract
Functional equations of the form f(x + y)g(x − y) = Σj=1n αj(x)βj (y) as well as of the form f1(x + z)f2(y + z)f3(x + y − z) = Σj=1mφj(x, y)ψj (z) are solved for unknown entire functions f, g,αj, βj: ℂ → ℂ and f1, f2, f3, ψj: ℂ → ℂ, φj: ℂ2 → ℂ in the cases of n = 3 and m = 4.
About the authors
A. A. Illarionov
Khabarovsk Division of the Institute of Applied Mathematics
Author for correspondence.
Email: illar_a@list.ru
Russian Federation, ul. Dzerzhinskogo 54, Khabarovsk, 680000
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