Open Access
October 2017 Sine and cosine equations on hypergroups
Żywilla Fechner, László Székelyhidi
Banach J. Math. Anal. 11(4): 808-824 (October 2017). DOI: 10.1215/17358787-2017-0018


This article deals with trigonometric functional equations on hypergroups. We describe the general continuous solution of sine and cosine addition formulas and a so-called sine-cosine functional equation on a locally compact hypergroup in terms of exponential functions, sine functions, and second-order generalized moment functions.


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Żywilla Fechner. László Székelyhidi. "Sine and cosine equations on hypergroups." Banach J. Math. Anal. 11 (4) 808 - 824, October 2017.


Received: 2 July 2016; Accepted: 16 November 2016; Published: October 2017
First available in Project Euclid: 30 June 2017

zbMATH: 1382.43010
MathSciNet: MR3708530
Digital Object Identifier: 10.1215/17358787-2017-0018

Primary: 43A62
Secondary: 20N20

Keywords: addition theorems , Hypergroup , sine-cosine equation

Rights: Copyright © 2017 Tusi Mathematical Research Group

Vol.11 • No. 4 • October 2017
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