WALAILAK JOURNAL OF SCIENCE AND TECHNOLOGY

Volume 16, No. 09, Month SEPTEMBER, Year 2019, Pages 611 - 614

Characterizing hyperbolic functions over a hyperplane

Kanet PONPETCH

Abstract Download PDF

A brief account of our recent works dealing with the problem of characterizing hyperbolic functions through the use of functional equations with side conditions is reported. Specifically, the fact that each of the n functions having a zero sum over n points lying in a hyperplane is necessarily a linear function, is generalized and the results so obtained are applied to characterize hyperbolic functions.

Keywords

Characterizing, hyperplane, hyperbolic function

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