A Kannappan-Cosine Functional Equation on Semigroups-Reference-Cited by-同舟云学术

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A Kannappan-Cosine Functional Equation on Semigroups

Published:2024-04-27 Issue:0 Volume:0 Page:
ISSN:2391-4238
Container-title:Annales Mathematicae Silesianae
language:en
Short-container-title:

Author:

Jafar Ahmed¹,Ajebbar Omar²^ORCID,Elqorachi Elhoucien¹

Affiliation:

1. Ibn Zohr University, Faculty of Sciences , Department of Mathematics , Agadir , Morocco

2. Sultan Moulay Slimane University, Multidisciplinary Faculty , Department of Mathematics , Beni Mellal , Morocco

Abstract

Abstract In this paper we determine the complex-valued solutions of the Kannappan-cosine functional equation g(xyz 0) = g(x)g(y) − f(x)f(y), x, y ∈ S, where S is a semigroup and z 0 is a fixed element in S.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/amsil-2024-0012

Reference13 articles.

1. J. Aczél, Lectures on Functional Equations and Their Applications, Mathematics in Science and Engineering, Vol. 19, Academic Press, New York, 1966.

2. O. Ajebbar and E. Elqorachi, The cosine-sine functional equation on a semigroup with an involutive automorphism, Aequationes Math. 91 (2017), no. 6, 1115–1146.

3. O. Ajebbar and E. Elqorachi, Solutions and stability of trigonometric functional equations on an amenable group with an involutive automorphism, Commun. Korean Math. Soc. 34 (2019), no. 1, 55–82.

4. B. Ebanks, The sine addition and subtraction formulas on semigroups, Acta Math. Hungar. 164 (2021), no. 2, 533–555.

5. B. Ebanks, The cosine and sine addition and subtraction formulas on semigroups, Acta Math. Hungar. 165 (2021), no. 2, 337–354.

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