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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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Detalles Bibliográficos
Autores principales: Wu, Zhaojun, Xuan, Zuxing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3926302/
https://www.ncbi.nlm.nih.gov/pubmed/24605067
http://dx.doi.org/10.1155/2014/861573
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author Wu, Zhaojun
Xuan, Zuxing
author_facet Wu, Zhaojun
Xuan, Zuxing
author_sort Wu, Zhaojun
collection PubMed
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.
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spelling pubmed-39263022014-03-06 Milloux Inequality of E-Valued Meromorphic Function Wu, Zhaojun Xuan, Zuxing ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2014-01-30 /pmc/articles/PMC3926302/ /pubmed/24605067 http://dx.doi.org/10.1155/2014/861573 Text en Copyright © 2014 Z. Wu and Z. Xuan. 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
Xuan, Zuxing
Milloux Inequality of E-Valued Meromorphic Function
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
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3926302/
https://www.ncbi.nlm.nih.gov/pubmed/24605067
http://dx.doi.org/10.1155/2014/861573
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