A generalization of d'Alembert's functional equation on semigroups
General Mathematics
2019-07-31 v1
Abstract
Given a semigroup generated by its squares equipped with an involutive automorphism and a multiplicative function such that for all , we determine the complex-valued solutions of the following functional equation.
Keywords
Cite
@article{arxiv.1907.12966,
title = {A generalization of d'Alembert's functional equation on semigroups},
author = {Omar Ajebbar and Elhoucien Elqorachi},
journal= {arXiv preprint arXiv:1907.12966},
year = {2019}
}
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16 pages