Normal Criteria of Function Families Concerning Shared Values

Journal of Applied Mathematics. 2011;2011 DOI 10.1155/2011/790942


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Journal Title: Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)

Publisher: Hindawi Limited

LCC Subject Category: Science: Mathematics

Country of publisher: United Kingdom

Language of fulltext: English

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Wenjun Yuan (School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China)

Bing Zhu (College of Computer Engineering Technology, Guangdong Institute of Science and Technology, Zhuhai 519090, China)

Jianming Lin (School of Economic and Management, Guangzhou University of Chinese Medicine, Guangzhou 510006, China)


Blind peer review

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Time From Submission to Publication: 18 weeks


Abstract | Full Text

We study the normality of families of meromorphic functions concerning shared values. We consider whether a family of meromorphic functions ℱ is normal in D, if, for every pair of functions f and g in ℱ, f′−af−n and g′−ag−n share the value b, where a and b are two finite complex numbers such that a≠0, n is a positive integer. Some examples show that the conditions in our results are best possible.