Driss Zeglami - Academia.edu (original) (raw)
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Papers by Driss Zeglami
In the present paper, we determine the complex-valued solutions ( f ;g) of the functional equatio... more In the present paper, we determine the complex-valued solutions ( f ;g) of the functional equation f (xy)+ f (j(y)x) = 2 f (x)g(y); in the setting of groups and monoids, where j is an endomorphism not necessarity involutive. We prove that their solutions can be expressed in terms of multiplicative and additive functions. Many consequences of these results are presented.
In the present paper, we determine the complex-valued solutions ( f ;g) of the functional equatio... more In the present paper, we determine the complex-valued solutions ( f ;g) of the functional equation f (xy)+ f (j(y)x) = 2 f (x)g(y); in the setting of groups and monoids, where j is an endomorphism not necessarity involutive. We prove that their solutions can be expressed in terms of multiplicative and additive functions. Many consequences of these results are presented.