Van Vleck's functional equation for the sine

DOI10.1007/S00010-015-0349-ZzbMath1348.39013OpenAlexW2085070689MaRDI QIDQ264146

Henrik Stetkaer

Publication date: 6 April 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-015-0349-z

zbMATH Keywords

sine functionsemigrouptopological semigroupinvolutionE. B. van Vleck's functional equation

Mathematics Subject Classification ID

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

Related Items (19)

A functional equation with involution related to the cosine function ⋮ Kannappan's functional equation on semigroups with involution ⋮ Superstability of a Van Vleck's type functional equation for the sine ⋮ A variant of d'Alembert functional equation on monoids ⋮ Integral functional equations on locally compact groups with involution ⋮ Some functional equations related to number theory ⋮ An extension of Van Vleck's functional equation for the sine ⋮ A Class of Functional Equations of Type d’Alembert on Monoids ⋮ The integral sine addition law ⋮ A sine type functional equation on a topological group ⋮ Extensions of Kannappan’s and Van Vleck’s Functional Equations on Semigroups ⋮ An integral functional equation on groups under two measures ⋮ On the superstability of the cosine and sine type functional equations ⋮ The generalized Van Vleck's equation on locally compact groups ⋮ Integral Van Vleck's and Kannappan's functional equations on semigroups ⋮ The integral cosine addition and sine subtraction laws ⋮ Sine and cosine type functional equations on hypergroups ⋮ Solutions and stability of generalized Kannappan's and Van Vleck's functional equations ⋮ Superstability of Kannappan's and Van vleck's functional equations

Cites Work

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• On two functional equations with involution on groups related to sine and cosine functions
• On uniformly bounded spherical functions in Hilbert space
• A functional equation related to the product in a quadratic number field
• A note on d'Alembert's functional equation on a restricted domain
• D'Alembert's functional equation on groups
• Functional Equations and Inequalities with Applications
• Functional Equations on Groups
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups

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