<abstract xmlns="http://www.w3.org/1999/xhtml">

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

A Kannappan-Cosine Functional Equation on Semigroups

Sultan Moulay Slimane University, Multidisciplinary Faculty

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"A Kannappan-Cosine Functional Equation on Semigroups"}

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...

A Kannappan-Cosine Functional Equation on Semigroups

Published Online: Apr 27, 2024

Page range: -

Received: May 01, 2023

Accepted: Mar 25, 2024

DOI: https://doi.org/10.2478/amsil-2024-0012

Keywords
Kannappan, semigroups, multiplicative function, additive function, cosine-sine equation

© 2024 Ahmed Jafar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A Kannappan-Cosine Functional Equation on Semigroups

Published Online: Apr 27, 2024

Page range: -

Received: May 01, 2023

Accepted: Mar 25, 2024

DOI: https://doi.org/10.2478/amsil-2024-0012

KeywordsKannappan, semigroups, multiplicative function, additive function, cosine-sine equation

© 2024 Ahmed Jafar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Kannappan, semigroups, multiplicative function, additive function, cosine-sine equation