The cosine-sine functional equation on a semigroup with an involutive automorphism

DOI10.1007/s00010-017-0512-9zbMath1385.39004OpenAlexW2762629014MaRDI QIDQ1689419

Elhoucien Elqorachi, Omar Ajebbar

Publication date: 12 January 2018

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

Full work available at URL: https://doi.org/10.1007/s00010-017-0512-9

zbMATH Keywords

semigroupmultiplicative functioninvolutive automorphismadditive functionLevi-Civita functional equationcosine-sine equation

Mathematics Subject Classification ID

Functional equations for complex functions (39B32) Matrix and operator functional equations (39B42)

Related Items (6)

Some trigonometric functional equations on monoids generated by their squares ⋮ Unnamed Item ⋮ The solution of the cosine-sine functional equation on semigroups ⋮ Stability of the Cosine–Sine Functional Equation on Amenable Groups ⋮ Generalized sine and cosine addition laws and a Levi-Civita functional equation on monoids ⋮ A Levi-Civita functional equation on semigroups

Cites Work

• A generalization of the cosine-sine functional equation on groups
• On the trigonometric subtraction and addition formulas
• D'Alembert's other functional equation on monoids with an involution
• Functional Equations on Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item

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