On two functional equations with involution on groups related to sine and cosine functions

DOI10.1007/S00010-014-0309-ZzbMath1333.39025OpenAlexW2014796937MaRDI QIDQ499641

Prasanna K. Sahoo, Allison M. Perkins

Publication date: 30 September 2015

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

Full work available at URL: https://doi.org/10.1007/s00010-014-0309-z

zbMATH Keywords

involutioncosine functional equationgroup characterabelian functionKannappan's functional equationVan Vleck's functional equation

Mathematics Subject Classification ID

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

Related Items (17)

Van Vleck's functional equation for the sine ⋮ A functional equation with involution related to the cosine function ⋮ Kannappan's functional equation on semigroups with involution ⋮ A variant of d'Alembert functional equation on monoids ⋮ Integral functional equations on locally compact groups with involution ⋮ Ulam-Hyers stability of trigonometric functional equation with involution ⋮ A new variant of Wilson's functional equation on monoids ⋮ An extension of Van Vleck's functional equation for the sine ⋮ A Class of Functional Equations of Type d’Alembert on Monoids ⋮ 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 ⋮ 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

• Unnamed Item
• A functional equation with involution related to the cosine function
• The cosine functional equation for nilpotent groups
• Functional Equations and Inequalities with Applications
• A Cosine Functional Equation with Restricted Argument
• Functional Equations on Groups
• A Functional Equation for the Cosine

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