A Levi-Civita functional equation on semigroups

DOI10.1007/s00010-021-00865-zzbMath1486.39031OpenAlexW4205992615MaRDI QIDQ2118156

Henrik Stetkaer

Publication date: 22 March 2022

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

Full work available at URL: https://doi.org/10.1007/s00010-021-00865-z

zbMATH Keywords

functional equationsemigroupLevi-Civitasine addition lowsolution of 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 (2)

The cosine-sine functional equation on semigroups ⋮ The solution of the cosine-sine functional equation on semigroups

Cites Work

• 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
• Generalized sine and cosine addition laws and a Levi-Civita functional equation on monoids
• A functional equation on groups with involutions
• D'Alembert's other functional equation on monoids with an involution
• Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups
• Some trigonometric functional equations on monoids generated by their squares
• Functional Equations on Groups

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