The Cosine–Sine functional equation on a semigroup with an involutive automorphism-Reference-Cited by-同舟云学术

The Cosine–Sine functional equation on a semigroup with an involutive automorphism

Published:2017-10-12 Issue:6 Volume:91 Page:1115-1146
ISSN:0001-9054
Container-title:Aequationes mathematicae
language:en
Short-container-title:Aequat. Math.

Author:

Ajebbar Omar,Elqorachi Elhoucien

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Link

http://link.springer.com/article/10.1007/s00010-017-0512-9/fulltext.html

Reference7 articles.

1. Aczél, J.: Lectures on functional equations and their applications. In: Aczél, J. (ed.) Mathematics in Sciences and Engineering, vol. 19. Academic Press, New York (1966)

2. Chung, J.K., Kannappan, Pl, Ng, C.T.: A generalization of the Cosine–Sine functional equation on groups. Linear Algebra Appl. 66, 259–277 (1985)

3. Ebanks, B., Stetkær, H.: d’Alembert’s other functional equation on monoids with involution. Aequ. Math. 89(1), 187–206 (2015)

4. Glaeser, G.: Dérivation des algèbres commutatives. C. R. Acad. Sci. Paris 233, 1550–1552 (1951)

5. Poulsen, T.A., Stetkær, H.: On the trigonometric subtraction and addition formulas. Aequ. Math. 59(1–2), 84–92 (2000)

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