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Title: D’Alembert’s and Wilson’s equations on semigroups
Authors: Łukasik, Radosław
Keywords: d’Alembert equation; Wilson equation; semigroup
Issue Date: 2020
Citation: Aequationes Mathematicae, Vol. 64, no. 6 (2020),s .1269–1279
Abstract: In this paper we consider a generalization of d’Alembert’s equation and Wilson’s equation on commutative semigroups using only the semigroup operation, ie. we consider the functional equation h(x+2y)+h(x)=2f(y)h(x+y),x,y∈S,where f, h: S→ K, (S, +) is a commutative semigroup, K is a quadratically closed field, charK≠2.
DOI: 10.1007/s00010-020-00708-3
ISSN: 0001-9054
Appears in Collections:Artykuły (WNŚiT)

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