Normal Criteria of Function Families Related to a Result of Drasin
We study the normality of families of meromorphic functions related to a result of Drasin. We consider whether a family meromorphic functions F whose each function does not take zero is normal in D, if for every pair of functions f and g in F, f(z) and g(z) share ∞ or H(f)−1 and H(g)−1 share 0, wher...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/826164 |
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| _version_ | 1832552195257532416 |
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| author | Zhu Bing Lin Jianming Yuan Wenjun |
| author_facet | Zhu Bing Lin Jianming Yuan Wenjun |
| author_sort | Zhu Bing |
| collection | DOAJ |
| description | We study the normality of families of meromorphic functions related to a result of Drasin. We consider whether a
family meromorphic functions F whose each function does not take
zero is normal in D, if for every pair of functions f and g in F, f(z) and g(z) share ∞ or H(f)−1 and H(g)−1 share 0, where H(f):=f(k)(z)+ak−1f(k−1)(z)+⋯,a0f(z). Some examples show that the conditions in our results are best possible. |
| format | Article |
| id | doaj-art-f5b0d38ace3341cea9f209fdc2fe18cd |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f5b0d38ace3341cea9f209fdc2fe18cd2025-02-03T05:59:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/826164826164Normal Criteria of Function Families Related to a Result of DrasinZhu Bing0Lin Jianming1Yuan Wenjun2College of Computer Engineering Technology, Guangdong Institute of Science and Technology, Zhuhai 519090, ChinaSchool of Economic and Management, Guangzhou University of Chinese Medicine, Guangzhou 512009, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaWe study the normality of families of meromorphic functions related to a result of Drasin. We consider whether a family meromorphic functions F whose each function does not take zero is normal in D, if for every pair of functions f and g in F, f(z) and g(z) share ∞ or H(f)−1 and H(g)−1 share 0, where H(f):=f(k)(z)+ak−1f(k−1)(z)+⋯,a0f(z). Some examples show that the conditions in our results are best possible.http://dx.doi.org/10.1155/2011/826164 |
| spellingShingle | Zhu Bing Lin Jianming Yuan Wenjun Normal Criteria of Function Families Related to a Result of Drasin Discrete Dynamics in Nature and Society |
| title | Normal Criteria of Function Families Related to a Result of Drasin |
| title_full | Normal Criteria of Function Families Related to a Result of Drasin |
| title_fullStr | Normal Criteria of Function Families Related to a Result of Drasin |
| title_full_unstemmed | Normal Criteria of Function Families Related to a Result of Drasin |
| title_short | Normal Criteria of Function Families Related to a Result of Drasin |
| title_sort | normal criteria of function families related to a result of drasin |
| url | http://dx.doi.org/10.1155/2011/826164 |
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