On permutability of periodic entire functions
type: Item
instance of: scholarly article
title: On permutability of periodic entire functions
zbMATH Open document ID: 0672.30027
DOI: 10.1016/0022-247X(89)90107-8
author: Jian-Hua Zheng
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: Using some earlier results of the reviewer, the author proves a number of results on permutable functions. For example he proves: Let F(z) and G(z) both be entire functions of order less than \(\frac12\) and let H(z) be entire. If H(z) is permutable with \(F(e^ z)+G(e^{-z})\), then H(z) has the form \[ H(z)=(k/s)z+E(z), \] where both s \((>0)\) and k are integers and E(z) is periodic with period \(2s\pi i\).
reviewed by: Fred Gross
Mathematics Subject Classification ID: 30D20
zbMATH DE Number: 4099637
zbMATH Keywords: periodic entire functions
MaRDI profile type: Publication
cites work: On the zeros of \(f(g(z))\) where \(f\) and \(g\) are entire functions
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description: scientific article; zbMATH DE number 4099637