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Entire and Meromorphic Solutions of the Functional Equation $$f^n+g^n+h^n=1$$fn+gn+hn=1 and Differential Equations

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Published in 2019 at "Computational Methods and Function Theory"

DOI: 10.1007/s40315-018-0258-y

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… read more here.

Keywords: equation differential; differential equations; entire meromorphic; solutions functional ... See more keywords