Some trigonometric functional equations on monoids generated by their squares

DOI10.1007/s00010-020-00730-5zbMath1462.39021OpenAlexW3036353263MaRDI QIDQ2662893

Bruce R. Ebanks

Publication date: 15 April 2021

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

Full work available at URL: https://doi.org/10.1007/s00010-020-00730-5

zbMATH Keywords

automorphisminvolutionmonoidtrigonometric 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 (6)

The cosine-sine functional equation on semigroups ⋮ A variant of d'Alembert functional equation on monoids ⋮ A new variant of Wilson's functional equation on monoids ⋮ Generalized sine and cosine addition laws and a Levi-Civita functional equation on monoids ⋮ Around the sine addition law and d'Alembert's equation on semigroups ⋮ A Levi-Civita functional equation on semigroups

Cites Work

• Unnamed Item
• Wilson's functional equation on monoids with involutive automorphisms
• A generalization of the cosine-sine functional equation on groups
• The cosine-sine functional equation on a semigroup with an involutive automorphism
• A functional equation on groups with involutions
• D'Alembert's other functional equation on monoids with an involution
• Functional Equations on Groups

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