A Kannappan-sine addition law on semigroups

Let S be a semigroup and z 0 a fixed element in S . We determine the complex-valued solutions of the following Kannappan-sine addition law f ( x y z 0 ) = f ( x ) g ( y ) + f ( y ) g ( x ) , x , y ∈ S .

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Bibliographic Details
Published in:Aequationes mathematicae 2024-08, Vol.98 (4), p.1001-1017
Main Authors: Ahmed, Jafar, Omar, Ajebbar, Elhoucien, Elqorachi
Format: Article
Language:English
Subjects:
Analysis
Combinatorics
Mathematics
Mathematics and Statistics
Semigroups
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Description
Summary:Let S be a semigroup and z 0 a fixed element in S . We determine the complex-valued solutions of the following Kannappan-sine addition law f ( x y z 0 ) = f ( x ) g ( y ) + f ( y ) g ( x ) , x , y ∈ S .
ISSN:0001-9054
1420-8903
DOI:10.1007/s00010-024-01104-x