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On the solution of functional equations of Wilson's type on monoids

2025Open accessIbn Tofail University

Abstract

Let S be a monoid, C be the set of complex numbers, and let σ,τ ∈ Antihom(S,S) satisfy τ ○ τ =σ ○ σ= id. The aim of this paper is to describe the solution ⨍,g: S → C of the functional equation ʄ(xσ(y)) + ʄ(τ(y)x) = 2f(x)g(y), x, y ∈ S, in terms of multiplicative and additive functions.

Research topics

  • Functional Equations Stability Results

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DOI: 10.22199/issn.0717-6279-2540

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