A generalization of Drygas functional equation
Keywords:Automorphism group, difference operator, Drygas functional equation, automorfismo de grupos, operador diferencial, ecuación funcional de Drygas.
We obtain the Solutions of the following Drygas functional equation
∑ λ ∈Φ f (x + λy + aλ ) = κf(x)+ ∑ λ ∈Φ f(λy), x, y ∈ S
where S is an abelian semigroup, G is an abelian group, f ∈ GS, Φ is a finite automorphism group of S with order k, and aλ ∈ S, λ∈Φ.
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