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On a generalized Pompeiu functional equation

Authors :
Sang Han Lee
Kil-Woung Jun
Source :
Aequationes mathematicae. 62:201-210
Publication Year :
2001
Publisher :
Springer Science and Business Media LLC, 2001.

Abstract

In this paper we determine the general solution of the functional equation¶¶f(ax + by + cxy) = p(x) + q(y) + g(x)h(y)¶which is a generalization of the Pompeiu functional equation.

Details

ISSN :
14208903 and 00019054
Volume :
62
Database :
OpenAIRE
Journal :
Aequationes mathematicae
Accession number :
edsair.doi...........a324e9e9d60e292ecc84e1522fe11e2b