Sine and cosine equations on commutative hypergroups

2015/10/10 by Żywilla Fechner, László Székelyhidi, Fechner, Żywilla +1
Mathematics · #20N20 #39B99 #43A62 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:20N20 #msc:39B99 #msc:43A62

paper · pdf · doi:10.48550/arxiv.1510.02905

arxiv created 2015/10/10 · arxiv updated 2015/10/13

Abstract

In this paper we describe the solutions of the functional equations expressing the addition theorems for sine and cosine on commutative hypergroups.

Related

• Sine functions on hypergroups
• Cosine-sine functional equation on semigroups
• Cosine and Sine addition and subtraction law with an automorphism
• A generalization of the cosine addition law on semigroups
• A generalization of the Cosine-Sine functional equation on a semigroup