Solution of Several Functional Equations on Nonunital Semigroups Using Wilson’s Functional Equations with Involution

Jaeyoung Chung and Prasanna K. Sahoo

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

Let S be a nonunital commutative semigroup, an involution, and the set of complex numbers. In this paper, first we determine the general solutions of Wilson’s generalizations of d’Alembert’s functional equations   and on nonunital commutative semigroups, and then using the solutions of these equations we solve a number of other functional equations on more general domains.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:463918

DOI: 10.1155/2014/463918

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