Published: 2022-01-17
Language: EN

A parametric functional equation originating from number theory

Aziz Mouzoun Logo ORCID , Driss Zeglami , Youssef Aissi

Abstract

Let S be a semigroup and α,β∈ℝ. The purpose of this paper is to determine the general solution f:ℝ2→S of the following parametric functional equation
f(x1x2+αy1y2,x1y2+x2y1+βy1y2) = f(x1,y1)f(x2,y2),
for all (x1,y1), (x2,y2)∈ℝ2, that generalizes some functional equations arising from number theory and is connected with the characterizations of the determinant of matrices.

(EN)

Download files

Citation rules

Mouzoun, A., Zeglami, D., & Aissi, Y. (2022). A parametric functional equation originating from number theory. Annales Mathematicae Silesianae, 36(1), 71–91. Retrieved from https://trrest.vot.pl/ojsus/index.php/AMSIL/article/view/13462

Domyślna okładka

Vol. 36 No. 1 (2022)
Published: 2022-03-30


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

This website uses cookies for proper operation, in order to use the portal fully you must accept cookies.