On meromorphic solutions of the Fermat-type functional equation \(f(z)^n+f(z+c)^m=e^{\alpha z+\beta}\)

DOI10.1007/S00009-022-02054-XzbMath1492.30070OpenAlexW4225156752MaRDI QIDQ2134639

Feng Lü, Hongxiao Guo

Publication date: 3 May 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02054-x

zbMATH Keywords

meromorphic solutionWeierstrass \(\wp\)-functionFermat functional equation

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (4)

Meromorphic solutions of nonlinear systems of Fermat type ⋮ Meromorphic solutions of Fermat type differential and difference equations of certain types ⋮ Stability of ternary antiderivation in ternary Banach algebras via fixed point theorem ⋮ On meromorphic solutions of the Fermat-type functional equations \(f(z)^3 + f(z+c)^3 = e^p\)

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