An Inequality of Meromorphic Vector Functions and Its Application

Firstly, an inequality for vector-valued meromorphic functions is established which extend a corresponding inequality of Milloux for meromorphic scalar-valued function (1946). As an application, the relationship between the characteristic function of a vector-valued meromorphic function f and its de...

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Main Authors: Wu Zhaojun, Chen Yuxian
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/518972
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author Wu Zhaojun
Chen Yuxian
author_facet Wu Zhaojun
Chen Yuxian
author_sort Wu Zhaojun
collection DOAJ
description Firstly, an inequality for vector-valued meromorphic functions is established which extend a corresponding inequality of Milloux for meromorphic scalar-valued function (1946). As an application, the relationship between the characteristic function of a vector-valued meromorphic function f and its derivative f' is studied, results are obtained to extend some related results for meromorphic scalar-valued function of Weitsman (1969) and Singh and Gopalakrishna (1971).
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publishDate 2011-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-c85c24f12c2243c88b96a4f1e0adce192025-02-03T01:00:49ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/518972518972An Inequality of Meromorphic Vector Functions and Its ApplicationWu Zhaojun0Chen Yuxian1School of Mathematics and Statistics, Xianning University, Xianning 437100, ChinaSchool of Mathematics and Computer Science, Xinyu University, Xinyu 338004, ChinaFirstly, an inequality for vector-valued meromorphic functions is established which extend a corresponding inequality of Milloux for meromorphic scalar-valued function (1946). As an application, the relationship between the characteristic function of a vector-valued meromorphic function f and its derivative f' is studied, results are obtained to extend some related results for meromorphic scalar-valued function of Weitsman (1969) and Singh and Gopalakrishna (1971).http://dx.doi.org/10.1155/2011/518972
spellingShingle Wu Zhaojun
Chen Yuxian
An Inequality of Meromorphic Vector Functions and Its Application
Abstract and Applied Analysis
title An Inequality of Meromorphic Vector Functions and Its Application
title_full An Inequality of Meromorphic Vector Functions and Its Application
title_fullStr An Inequality of Meromorphic Vector Functions and Its Application
title_full_unstemmed An Inequality of Meromorphic Vector Functions and Its Application
title_short An Inequality of Meromorphic Vector Functions and Its Application
title_sort inequality of meromorphic vector functions and its application
url http://dx.doi.org/10.1155/2011/518972
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