On a Quadratic-Trigonometric Functional Equation and Some Applications

DOI10.2307/2154805zbMath0830.39014OpenAlexW4247201435MaRDI QIDQ4846106

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Publication date: 8 February 1996

Full work available at URL: https://doi.org/10.2307/2154805

zbMATH Keywords

Pexider equationgeneral solutionsd'Alembert equationcomplex valued functions on a groupquadratic-trigonometric functional equationWilson equations

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional equations for complex functions (39B32)

Related Items (14)

On the stability of Jensen's functional equation on groups ⋮ Stability of Jensen functional equation on semigroups ⋮ On Jensen’s and the quadratic functional equations with involutions ⋮ Functional equations on abelian groups with involution ⋮ Unnamed Item ⋮ A variant of a generalized quadratic functional equation on groups ⋮ Unnamed Item ⋮ Pexider type equation on a region ⋮ Ulam stability of Jensen functional inequality on a class of noncommutative groups ⋮ Solution of Generalized Jensen and Quadratic Functional Equations ⋮ A note on a functional equation on groups with involutions in two variables ⋮ Solution of several functional equations on nonunital semigroups using Wilson's functional equations with involution ⋮ Stability of Wilson's functional equations with involutions ⋮ On Gajda's type quadratic equation on a locally compact abelian group

Cites Work

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• A generalization of the cosine-sine functional equation on groups
• The solution of the functional equation of d'Alembert's type for commutative groups
• On two functional equationes connected with the equation \(\phi(x + y) + \phi(x - y) = 2\phi(x) + 2\phi(y)\)
• A Common Generalization of Functional Equations Characterizing Normed and Quasi-Inner-Product Spaces
• D'Alembert's Functional Equation on Groups
• The Cauchy Functional Equations in Distributions
• On a Functional Equation Connected with Rao's Quadratic Entropy
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups

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