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Results in Mathematics
Article . 1998 . Peer-reviewed
License: Springer TDM
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A Certain Functional Equation

A certain functional equation
Authors: An, Jong Soo;

A Certain Functional Equation

Abstract

By a simpler argument than that used by \textit{H. Haruki} [Aequationes Math. 36, No. 1, 1-19 (1988; Zbl 0656.39004)], the author determines all entire functions \(f\), \(g\), \(h\) and \(k\) satisfying the functional equation \(|f(z+ w)|+|g(z- w)|= |h(z+ w)|+ |k(z- w)|\). [This paper is a plagiarism to Boo Rim Choe, A functional equation of Pexider type., Funkc. Ekvacioj, Ser. Int. 35, No.2, 255-259 (1992; Zbl 0755.39006).

Keywords

Functional equations for functions with more general domains and/or ranges, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Average
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