Around the sine addition law and d'Alembert's equation on semigroups

DOI10.1007/s00025-021-01548-6zbMath1478.39025OpenAlexW3214242514WikidataQ114852549 ScholiaQ114852549MaRDI QIDQ2051430

Bruce R. Ebanks

Publication date: 24 November 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01548-6

zbMATH Keywords

semigroupprime idealinvolutionmultiplicative functionmonoidadditive function

Mathematics Subject Classification ID

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

Related Items (10)

Some Levi-Civita functional equations on semigroups ⋮ A generalization of the cosine addition law on semigroups ⋮ The solution of the cosine-sine functional equation on semigroups ⋮ Exponential polynomials and the sine addition law on magmas ⋮ Cosine subtraction laws ⋮ Sine subtraction laws on semigroups ⋮ Extensions of the sine addition law with an extra term ⋮ Pexiderized d'Alembert functional equations on monoids ⋮ Unnamed Item ⋮ A Levi-Civita equation on monoids, two ways

Cites Work

• Wilson's functional equation on monoids with involutive automorphisms
• Generalized sine and cosine addition laws and a Levi-Civita functional equation on monoids
• The sine addition and subtraction formulas on semigroups
• A functional equation on groups with involutions
• A variant of d'Alembert's functional equation
• A generalization of the symmetrized multiplicative Cauchy equation
• Some trigonometric functional equations on monoids generated by their squares
• Functional Equations on Groups

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