A new generalization of Wilson’s functional equation

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2019-05-0060

Keywords:

Wilson’s equation, Group, Semigroup involutive automorphism, Multiplicative function

Abstract

Let G be a group, let σ : G → G be an involutive automorphism and let χ 1 , χ 2 : G → C ∗ be two characters of G such that χ 2 (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 χ 1 (y)f (xy) + χ 2 (y)f (σ(y)x) = 2f (x)g(y), x,y ∈ G, in terms of characters and additive functions.

Author Biographies

Hajira Dimou, Ibn Tofail University.

Department of Mathematics.

Abdellatif Chahbi, Ibn Tofail University.

Department of Mathematics.

Samir Kabbaj, Ibn Tofail University.

Department of Mathematics.

References

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Published

2019-12-15

How to Cite

[1]
H. Dimou, A. Chahbi, and S. Kabbaj, “A new generalization of Wilson’s functional equation”, Proyecciones (Antofagasta, On line), vol. 38, no. 5, pp. 943-954, Dec. 2019.

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