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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th-cmuir.6653943832-58082014-08-30T03:23:29Z Non-existence of unbounded fatou components of a meromorphic function Zheng J.-H. Nlamsup P. 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. 2014-08-30T03:23:29Z 2014-08-30T03:23:29Z 2009 Article 0023608X http://www.scopus.com/inward/record.url?eid=2-s2.0-69549098027&partnerID=40&md5=bfcdea74dde254a68e5fecf30b28d614 http://cmuir.cmu.ac.th/handle/6653943832/5808 English |
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Chiang Mai University Library |
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Thailand |
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English |
| 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 |
Article |
| author |
Zheng J.-H. Nlamsup P. |
| spellingShingle |
Zheng J.-H. Nlamsup P. Non-existence of unbounded fatou components of a meromorphic function |
| author_facet |
Zheng J.-H. Nlamsup P. |
| author_sort |
Zheng J.-H. |
| 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 |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-69549098027&partnerID=40&md5=bfcdea74dde254a68e5fecf30b28d614 http://cmuir.cmu.ac.th/handle/6653943832/5808 |
| _version_ |
1681420495572959232 |