Volume 3, Issue 2, August 2019, Pages: 26-33
KH. Sabour1*, B. Fadli2 and S. Kabbaj1
1Department of Mathematics, Faculty of Sciences, IBN TOFAIL University, B.P.: 14000, Kenitra, Morocco
2Department of Mathematics, Faculty of Sciences, University of Chouaib Doukkali, B.P.: 24000, El Jadida, Morocco
Given an (not necessarily involutive) endomorphism : G G of a group G we finnd the solutions f; g : G ! C of the following functional equation f(xy) f('(y)x) = 2g(x)g(y); x; y 2 G; in terms of characters and additive functions on G: This allows us to solve the more general equation f(xy) + g('(y)x) = h(x)h(y); x; y 2 G; in which f; g; h : G C are the unknown functions.
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