Mathematical Theory and Applications ›› 2018, Vol. 38 ›› Issue (1-2): 33-37.

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The Meromorphic Solution to Fermat Type Functional Equations

  

  • Online:2018-06-30 Published:2020-09-18

Abstract: In this paper,the meromorphic solution to Fermat type functional equations is investigated.We prove that there do not exist non-constant meromorphic functions f(z),f(s)(z)and h(z)with order less than one that satisfy the functional equation f(z)7+f(s)(z)7+h(z)7 =1.

Key words: Fermat type functional equation, Meromorphic functions , Nevanlinna theory