A new generalization of Wilson’s functional equation

• Dimou, Hajira ^[1] ; Chahbi, Abdellatif ^[1] ; Kabbaj, Samir ^[1]
  1. [1] Université Ibn-Tofail

     Université Ibn-Tofail

     Kenitra, Marruecos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 5, 2019, págs. 943-954
• Idioma: inglés
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• Resumen

  • Let G be a group, let σ : G → G be an involutive automorphism and let χ1, χ2 : G → C∗ be two characters of G such that χ2(xσ(x)) = 1 for all x ∈ G. The aim of this paper is to describe the solutions f, g : G → C of the functional equation χ1(y)f (xy) + χ2(y)f (σ(y)x) = 2f (x)g(y), x,y ∈ G, in terms of characters and additive functions.