Generalized sine and cosine addition laws and a Levi-Civita functional equation on monoids

DOI10.1007/s00025-020-01320-2zbMath1472.39047OpenAlexW3120840524WikidataQ114852552 ScholiaQ114852552MaRDI QIDQ2034859

Bruce R. Ebanks

Publication date: 23 June 2021

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

Full work available at URL: https://doi.org/10.1007/s00025-020-01320-2

zbMATH Keywords

semigrouptopological semigroupmonoidLevi-Civita equationsine addition formulacosine addition formula

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional equations for complex functions (39B32)

Related Items (4)

Around the sine addition law and d'Alembert's equation on semigroups ⋮ The cosine and sine addition and subtraction formulas on semigroups ⋮ A Levi-Civita equation on monoids, two ways ⋮ A Levi-Civita functional equation on semigroups

Cites Work

• Unnamed Item
• A generalization of the cosine-sine functional equation on groups
• Equations of the form \(H(x\cdot y)=\sum_if_i(x)g_i(y)\)
• The cosine-sine functional equation on a semigroup with an involutive automorphism
• Extensions of the sine addition law on groups
• Extensions of the sine addition formula on monoids
• A functional equation on groups with involutions
• D'Alembert's other functional equation on monoids with an involution
• Some trigonometric functional equations on monoids generated by their squares
• An extension of the sine addition formula on groups and semigroups
• Functional Equations on Groups

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