A Kannappan-cosine functional equation on semigroups
Functional Analysis
2023-05-05 v1 General Mathematics
Abstract
We determine the complex-valued solutions of the Kannappan cosine functional law 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.
Cite
@article{arxiv.2305.02924,
title = {A Kannappan-cosine functional equation on semigroups},
author = {Ahmed Jafar and Omar Ajebbar and Elhoucien Elqorachi},
journal= {arXiv preprint arXiv:2305.02924},
year = {2023}
}
Related papers
View all related →
General Mathematics · Mathematics
A Kannappan-sine addition law on semigroups
Ahmed Jafar, Omar Ajebbar, Elhoucien Elqorachi
2023-04-28
General Mathematics · Mathematics
A Kannappan-sine subtraction law on semigroups
Ahmed Jafar, Omar Ajebbar, Elhoucien Elqorachi
2024-01-15
General Mathematics · Mathematics
Cosine-sine functional equation on semigroups
Omar Ajebbar, Elhoucien Elqorachi
2023-06-09
General Mathematics · Mathematics
A generalization of the Cosine-Sine functional equation on a semigroup
Omar Ajebbar, Elhoucien Elqorach
2023-12-12
Functional Analysis · Mathematics
A generalization of the cosine addition law on semigroups
Youssef Aserrar, Elhoucien Elqorachi
2022-10-18
Functional Analysis · Mathematics
A system of cosine-sine functional equations on a semigroup generated by its squares
Omar Ajebbar, Elhoucien Elqorachi
2022-09-21
Functional Analysis · Mathematics
Cosine and Sine addition and subtraction law with an automorphism
Youssef Aserrar, Elhoucien Elqorachi
2023-02-22
Functional Analysis · Mathematics
Five Trigonometric addition laws on semigroups
Youssef Aserrar, Elhoucien Elqorachi
2023-02-22
Functional Analysis · Mathematics
A variant of Wilson's functional equation on semigroups
Youssef Aserrar, Abdellatif Chahbi, Elhoucien Elqorachi
2022-10-19
General Mathematics · Mathematics
Integral Kannappan-Sine subtraction and addition law on semigroups
Ajebbar Omar, Elqorachi Elhoucien, Jafar Ahmed
2025-05-01
Classical Analysis and ODEs · Mathematics
An extensions of Kannappan's and Van Vleck's functional equations on semigroups
Elqorachi Elhoucien, Redouani Ahmed
2016-11-22
Functional Analysis · Mathematics
Kannappan-Wilson and Van Vleck-Wilson functional equations on semigroups
Youssef Aserrar, Elhoucien Elqorachi
2024-05-08
General Mathematics · Mathematics
Variants of Wilson's functional equation on semigroups
Omar Ajebbar, Elhoucien Elqorachi
2019-09-24
Classical Analysis and ODEs · Mathematics
Integral Van Vleck's and Kannappan's functional equations on semigroups
Elqorachi Elhoucien
2016-05-18
Functional Analysis · Mathematics
A d'Alembert type functional equation on semigroups
Youssef Aserrar, Elhoucien Elqorachi
2022-10-18
Classical Analysis and ODEs · Mathematics
A class of functional equations on monoids
Bouikhalene Belaid, Elqorachi Elhoucien
2016-03-08
Commutative Algebra · Mathematics
The stability of a Cosine-Sine Functional Equation on abelian groups
Ajebbar Omar, Elqorachi Elhoucien, Themistocles M. Rassias
2018-10-25
Rings and Algebras · Mathematics
Stability of the Cosine-Sine Functional Equation on amenable groups
Ajebbar Omar, Elqorachi Elhoucien
2018-09-20
Classical Analysis and ODEs · Mathematics
A note on Levi-Civita functional equation
Belfakih Keltouma, Elqorachi Elhoucien
2019-07-24
Functional Analysis · Mathematics
Nonabelian harmonic analysis and functional equations on compact groups
Jinpeng An, Dilian Yang
2008-09-08
Classical Analysis and ODEs · Mathematics
Solution of the Kac--Bernstein functional equation on Abelian groups in the class of positive functions
G. M. Feldman
2021-02-03
Classical Analysis and ODEs · Mathematics
On a type of exponential functional equation and its superstability in the sense of Ger
A. Sousaraei, M. Alimohammady, A. Sadeghi
2013-09-17
Number Theory · Mathematics
Diophantine equations in separated variables and lacunary polynomials
Dijana Kreso
2017-05-16
Dynamical Systems · Mathematics
Functional equations in polynomials
Zhan Jiang, Michael E. Zieve
2020-08-25
Functional Analysis · Mathematics
Sine and cosine equations on commutative hypergroups
Żywilla Fechner, László Székelyhidi
2015-10-13