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Solution of Functional Equations Related to Elliptic Functions

  • A. A. Illarionov
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Abstract

Functional equations of the form f(x + y)g(xy) = Σ j=1 n α j (x)β j (y) as well as of the form f1(x + z)f2(y + z)f3(x + yz) = Σ j=1 m φ j (x, y)ψ j (z) are solved for unknown entire functions f, g j , β j : ℂ → ℂ and f1, f2, f3, ψ j : ℂ → ℂ, φ j : ℂ2 → ℂ in the cases of n = 3 and m = 4.

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Khabarovsk Division of the Institute of Applied MathematicsFar Eastern Branch of the Russian Academy of SciencesKhabarovskRussia

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