An Inequality of Meromorphic Functions and Its Application

By applying Ahlfors theory of covering surface, we establish a fundamental inequality of meromorphic function dealing with multiple values in an angular domain. As an application, we prove the existence of some new singular directions for a meromorphic function f, namely a Bloch direction and a pseu...

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Detalles Bibliográficos
Autores principales: Wu, Zhaojun, Chen, Yuxian, Xuan, Zuxing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3967495/
https://www.ncbi.nlm.nih.gov/pubmed/24741345
http://dx.doi.org/10.1155/2014/242851
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author Wu, Zhaojun
Chen, Yuxian
Xuan, Zuxing
author_facet Wu, Zhaojun
Chen, Yuxian
Xuan, Zuxing
author_sort Wu, Zhaojun
collection PubMed
description By applying Ahlfors theory of covering surface, we establish a fundamental inequality of meromorphic function dealing with multiple values in an angular domain. As an application, we prove the existence of some new singular directions for a meromorphic function f, namely a Bloch direction and a pseudo-T direction for f.
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spelling pubmed-39674952014-04-16 An Inequality of Meromorphic Functions and Its Application Wu, Zhaojun Chen, Yuxian Xuan, Zuxing ScientificWorldJournal Research Article By applying Ahlfors theory of covering surface, we establish a fundamental inequality of meromorphic function dealing with multiple values in an angular domain. As an application, we prove the existence of some new singular directions for a meromorphic function f, namely a Bloch direction and a pseudo-T direction for f. Hindawi Publishing Corporation 2014-03-06 /pmc/articles/PMC3967495/ /pubmed/24741345 http://dx.doi.org/10.1155/2014/242851 Text en Copyright © 2014 Zhaojun Wu et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Wu, Zhaojun
Chen, Yuxian
Xuan, Zuxing
An Inequality of Meromorphic Functions and Its Application
title An Inequality of Meromorphic Functions and Its Application
title_full An Inequality of Meromorphic Functions and Its Application
title_fullStr An Inequality of Meromorphic Functions and Its Application
title_full_unstemmed An Inequality of Meromorphic Functions and Its Application
title_short An Inequality of Meromorphic Functions and Its Application
title_sort inequality of meromorphic functions and its application
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3967495/
https://www.ncbi.nlm.nih.gov/pubmed/24741345
http://dx.doi.org/10.1155/2014/242851
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