On a Composite Functional Equation Related to Abelian Groups

K. Ravi; A. Ponmanaselvan

doi:https://doi.org/10.14445/22315373/IJMTT-V17P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 17 | Number 1 | Year 2015 | Article Id. IJMTT-V17P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V17P510

On a Composite Functional Equation Related to Abelian Groups

K. Ravi, A. Ponmanaselvan

Citation :

K. Ravi, A. Ponmanaselvan, "On a Composite Functional Equation Related to Abelian Groups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 17, no. 1, pp. 75-81, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V17P510

Abstract

In this paper, we investigate a composite type functional equation f(x f(y)-y f(x))=f(x)-f(y)+x-y (1) on an Abelian group. This is a new composite functional equation introduced by authors and we are interested in finding the various properties of the function desired on an Abelian group which is uniquely divisible by 2.

Keywords

Composite functional equations, Abelian groups

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