Milloux Inequality of E-Valued Meromorphic Function

The main purpose of this paper is to establish the Milloux inequality of E-valued meromorphic function from the complex plane ℂ to an infinite dimensional complex Banach space E with a Schauder basis. As an application, we study the Borel exceptional values of an E-valued meromorphic function and th...

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Main Authors: Zhaojun Wu, Zuxing Xuan
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/861573
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author Zhaojun Wu
Zuxing Xuan
author_facet Zhaojun Wu
Zuxing Xuan
author_sort Zhaojun Wu
collection DOAJ
description The main purpose of this paper is to establish the Milloux inequality of E-valued meromorphic function from the complex plane ℂ to an infinite dimensional complex Banach space E with a Schauder basis. As an application, we study the Borel exceptional values of an E-valued meromorphic function and those of its derivatives; results are obtained to extend some related results for meromorphic scalar-valued function of Singh, Gopalakrishna, and Bhoosnurmath.
format Article
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institution Kabale University
issn 2356-6140
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-46b6c851de4e470dbcfe103cf69346062025-08-20T03:36:13ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/861573861573Milloux Inequality of E-Valued Meromorphic FunctionZhaojun Wu0Zuxing Xuan1School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, ChinaBeijing Key Laboratory of Information Service Engineering, Department of General Education, Beijing Union University, No. 97 Bei Si Huan Dong Road, Chaoyang District, Beijing 100101, ChinaThe main purpose of this paper is to establish the Milloux inequality of E-valued meromorphic function from the complex plane ℂ to an infinite dimensional complex Banach space E with a Schauder basis. As an application, we study the Borel exceptional values of an E-valued meromorphic function and those of its derivatives; results are obtained to extend some related results for meromorphic scalar-valued function of Singh, Gopalakrishna, and Bhoosnurmath.http://dx.doi.org/10.1155/2014/861573
spellingShingle Zhaojun Wu
Zuxing Xuan
Milloux Inequality of E-Valued Meromorphic Function
The Scientific World Journal
title Milloux Inequality of E-Valued Meromorphic Function
title_full Milloux Inequality of E-Valued Meromorphic Function
title_fullStr Milloux Inequality of E-Valued Meromorphic Function
title_full_unstemmed Milloux Inequality of E-Valued Meromorphic Function
title_short Milloux Inequality of E-Valued Meromorphic Function
title_sort milloux inequality of e valued meromorphic function
url http://dx.doi.org/10.1155/2014/861573
work_keys_str_mv AT zhaojunwu millouxinequalityofevaluedmeromorphicfunction
AT zuxingxuan millouxinequalityofevaluedmeromorphicfunction