Open AccessCharacterizing Hyperbolic Functions over a Hyperplane
Author(s) -
Kanet Ponpetch
Publication year - 2019
Publication title -
walailak journal of science and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.146
H-Index - 15
eISSN - 2228-835X
pISSN - 1686-3933
DOI - 10.48048/wjst.2019.6955
Subject(s) - hyperplane , mathematics , hyperbolic function , function (biology) , mathematical analysis , zero (linguistics) , hyperbolic manifold , pure mathematics , combinatorics , linguistics , philosophy , evolutionary biology , biology
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.