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In this paper, we study Fermat-type functional equations $$f^n+g^n+h^n=1$$fn+gn+hn=1 in the complex plane. Alternative proofs of the known results for entire and meromorphic solutions of such equations are given. Moreover,… Click to show full abstract
In this paper, we study Fermat-type functional equations $$f^n+g^n+h^n=1$$fn+gn+hn=1 in the complex plane. Alternative proofs of the known results for entire and meromorphic solutions of such equations are given. Moreover, some conditions on degrees of polynomial solutions are given.
Keywords:
equation differential;
differential equations;
entire meromorphic;
solutions functional;
meromorphic solutions;
functional equation
Journal Title: Computational Methods and Function Theory
Year Published: 2019
Link to full text (if available)
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Journal Title: Computational Methods and Function Theory
Year Published: 2019
Link to full text (if available)
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recommendations!