A Kannappan-Cosine Functional Equation on Semigroups

Ahmed Jafar; Omar Ajebbar; Elhoucien Elqorachi

doi:10.2478/amsil-2024-0012

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A Kannappan-Cosine Functional Equation on Semigroups

Annales Mathematicae Silesianae

Volume 39 (2025): Issue 1 (March 2025)

By: Ahmed Jafar, Omar Ajebbar and Elhoucien Elqorachi

Open Access

|Apr 2024

Abstract

In this paper we determine the complex-valued solutions of the Kannappan-cosine functional equation g(xyz₀) = g(x)g(y) − f (x)f (y), x, y ∈ S, where S is a semigroup and z₀ is a fixed element in S.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2024-0012 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 143 - 154

Submitted on: May 1, 2023

Accepted on: Mar 25, 2024

Published on: Apr 27, 2024

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

39B52,

39B32

Related subjects:

Mathematics,

General mathematics

© 2024 Ahmed Jafar, Omar Ajebbar, Elhoucien Elqorachi, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 39 (2025): Issue 1 (March 2025)