Non-existence of unbounded fatou components of a meromorphic function

This paper is devoted to study of sufficient conditions under which a transcendental meromorphic function has no unbounded Fatou components and to extension of some results for entire functions to meromorphic functions. Actually, we shall mainly discuss non-existence of unbounded wandering domains o...

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Main Authors:	Jian Hua Zheng, Piyapong Nlamsup
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=69549098027&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59753
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-59753
record_format	dspace
spelling	th-cmuir.6653943832-597532018-09-10T03:21:01Z Non-existence of unbounded fatou components of a meromorphic function Jian Hua Zheng Piyapong Nlamsup Mathematics This paper is devoted to study of sufficient conditions under which a transcendental meromorphic function has no unbounded Fatou components and to extension of some results for entire functions to meromorphic functions. Actually, we shall mainly discuss non-existence of unbounded wandering domains of a meromorphic function. The case for a composition of finitely many meromorphic functions with at least one of them being transcendental can be also investigated in terms of the argument of this paper. 2018-09-10T03:21:01Z 2018-09-10T03:21:01Z 2009-01-01 Journal 0023608X 2-s2.0-69549098027 10.1215/kjm/1248983027 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=69549098027&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59753
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Jian Hua Zheng Piyapong Nlamsup Non-existence of unbounded fatou components of a meromorphic function
description	This paper is devoted to study of sufficient conditions under which a transcendental meromorphic function has no unbounded Fatou components and to extension of some results for entire functions to meromorphic functions. Actually, we shall mainly discuss non-existence of unbounded wandering domains of a meromorphic function. The case for a composition of finitely many meromorphic functions with at least one of them being transcendental can be also investigated in terms of the argument of this paper.
format	Journal
author	Jian Hua Zheng Piyapong Nlamsup
author_facet	Jian Hua Zheng Piyapong Nlamsup
author_sort	Jian Hua Zheng
title	Non-existence of unbounded fatou components of a meromorphic function
title_short	Non-existence of unbounded fatou components of a meromorphic function
title_full	Non-existence of unbounded fatou components of a meromorphic function
title_fullStr	Non-existence of unbounded fatou components of a meromorphic function
title_full_unstemmed	Non-existence of unbounded fatou components of a meromorphic function
title_sort	non-existence of unbounded fatou components of a meromorphic function
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=69549098027&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59753
_version_	1681425309684989952

Non-existence of unbounded fatou components of a meromorphic function

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