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A Cosine Functional Equation with Restricted Argument

Published online by Cambridge University Press:  20 November 2018

L. B. Etigson*
Affiliation:
Department of Mathematics, Atkinson College, York University, Downs View, Ontario
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We name a functional equation with restricted argument one in which at least one of the variables is restricted to a certain discrete subset of the domain of the other variable(s). In particular, the subset may consist of a single element.

The purpose of this paper is to present a functional equation satisfied only by cosine functions.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1974