Remarks on Herman rings of transcendental meromorphic functions
type: Item
instance of: scholarly article
title: Remarks on Herman rings of transcendental meromorphic functions
zbMATH Open document ID: 0962.30009
author: Jian-Hua Zheng
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2000-11-06T00:00:00Z
review text: Suppose that \(f\) is a meromorphic function whose inverse has only finitely many singular points. Following methods of \textit{A. Eremenko} and \textit{Yu. Lyubich} [Ann. Inst. Fourier 42, No. 4, 989-1020 (1992; Zbl 0735.58031)] it is shown that \(f\) has at most finitely many Herman rings. Using the construction of \textit{M. Shishikura} [Ann. Sci. Éc. Norm. Supér., IV. Sér. 20, 1-29 (1987; Zbl 0621.58030)] a meromorphic function is obtained which has infinitely many Herman rings.
Mathematics Subject Classification ID: 30D05
zbMATH DE Number: 1526418
zbMATH Keywords: meromorphic function
zbMATH Keywords: Herman rings
reviewed by: I. N. Baker
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1526418