On the stability of a system of functional equations characterizing generalized hyperbolic and trigonometric functions
type: Item
instance of: scholarly article
title: On the stability of a system of functional equations characterizing generalized hyperbolic and trigonometric functions
zbMATH Open document ID: 0774.39007
DOI: 10.1007/BF01855886
author: Wolfgang Förg-Rob
author: Jens Schwaiger
published in: Aequationes Mathematicae
publication date: 1993-07-18T00:00:00Z
full work available at URL: https://eudml.org/doc/137529
review text: The stability properties of a system of functional equations generalizing the addition and subtraction formulae for the hyperbolic functions sinh and cosh are investigated. The general solution of a system of equations characterizing certain generalizations of trigonometric functions is also given.
Mathematics Subject Classification ID: 39B62
Mathematics Subject Classification ID: 39B32
Mathematics Subject Classification ID: 33B10
zbMATH DE Number: 202390
zbMATH Keywords: stability
zbMATH Keywords: system of functional equations
zbMATH Keywords: hyperbolic functions
zbMATH Keywords: trigonometric functions
reviewed by: Kazimierz Nikodem
MaRDI profile type: Publication
cites work: The Stability of the Cosine Equation
cites work: The Stability of the Equation f(x + y) = f(x)f(y)
cites work: The Stability of the Sine Equation
cites work: Q3989426
cites work: The stability of multiplicative semigroup homomorphisms to real normed algebras.
cites work: Über das Additionstheorem der zyklischen Funktionen
cites work: On generalized hyperbolic functions and their characterization by functional equations
OpenAlex ID: W2073501848
description: scientific article; zbMATH DE number 202390