A Levi-Civita equation on monoids, two ways

DOI10.2478/amsil-2022-0009zbMath1500.39015OpenAlexW4280579315MaRDI QIDQ2081351

Bruce R. Ebanks

Publication date: 12 October 2022

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2022-0009

zbMATH Keywords

monoidLevi-Civita equationsine and cosine additive equation

Mathematics Subject Classification ID

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

Related Items (2)

Some Levi-Civita functional equations on semigroups ⋮ Levi-Civita functional equations on commutative monoids with tractable prime ideals

Cites Work

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• Equations of the form \(H(x\cdot y)=\sum_if_i(x)g_i(y)\)
• Extensions of the sine addition law on groups
• Generalized sine and cosine addition laws and a Levi-Civita functional equation on monoids
• The sine addition and subtraction formulas on semigroups
• Around the sine addition law and d'Alembert's equation on semigroups
• The cosine and sine addition and subtraction formulas on semigroups
• Levi-Civita functional equations and the status of spectral synthesis on semigroups. II
• Functional Equations on Groups

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