Journal of South China University of Technology(Natural Science Edition) ›› 2003, Vol. 31 ›› Issue (7): 58-69.

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On Some Functional Equations Conneted with Polynomials on Abelian Groups (I)

LUAN Chang-fu ZHONG Ju-kang   

  1. Dept.of Appfied Mathematics.South China Univ.of Teeh.Guangzhou 510640.China
  • Online:2003-07-20 Published:2022-09-28
  • Contact: 奕长福(1946一),男,博 士,副教授,主要从事概率统研究.
  • About author:奕长福(1946一),男,博 士,副教授,主要从事概率统研究.

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Abstract: This paper derived the general solutions of the functional equations f3(x1 + x2 + x3) - [f21(x1 x2) +f22(x1 + x3) + /f23(x2 +x3)] +f11(x1) +f12(x2) +f13(x3) = and f(x1+ x2+...+xn)- =0 on abelian groups.

Key words: abelian group, functional equation, general solution, polynomial