A variant of d’Alembert’s functional equation on semigroups with an anti-endomorphism

Author:

Ayoubi Mohamed,Zeglami Driss

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Reference21 articles.

1. Aczél, J.: Lectures on functional equations and their applications. In: Mathematics in Science and Engineering. Academic Press, New York/London (1966)

2. D’Alembert, J.: Addition au Mémoire sur la courbe que forme une corde tendue mise en vibration. Hist. Acad. Berlin 6, 355–360 (1750)

3. Ayoubi, M., Zeglami, D.: D’Alembert’s functional equations on monoids with an anti-endomorphism. Results Math. 75, 74 (2020)

4. Ayoubi, M., Zeglami, D., Aissi, Y.: Wilson’s functional equation with an anti-endomorphism. Aequationes Math. 95, 535–549 (2021)

5. Ayoubi, M., Zeglami, D., Mouzoun, A.: D’Alembert’s functional equation on monoids with both an endomorphism and an anti-endomorphism. Publ. Math. Debrecen, to appear

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1. On Anti-endomorphisms of Groupoids;The Bulletin of Irkutsk State University. Series Mathematics;2023

2. A Functional Equation for the Cosine on Semigroups with Endomorphisms;Vietnam Journal of Mathematics;2022-09-15

3. D’Alembert’s $$\mu $$-Matrix Functional Equation on Groups with an Anti-endomorphism;Mediterranean Journal of Mathematics;2022-09-09

4. D’Alembert $$\mu $$-functions on semigroups;Archiv der Mathematik;2022-01-20

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