Normal Criteria of Function Families Concerning Shared Values
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≠...
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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: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/790942 |
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| _version_ | 1850166258679414784 |
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| author | Wenjun Yuan Bing Zhu Jianming Lin |
| author_facet | Wenjun Yuan Bing Zhu Jianming Lin |
| author_sort | Wenjun Yuan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dbb0b0fdf5c44f08b40dc3fa2145346e |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-dbb0b0fdf5c44f08b40dc3fa2145346e2025-08-20T02:21:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/790942790942Normal Criteria of Function Families Concerning Shared ValuesWenjun Yuan0Bing Zhu1Jianming Lin2School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaCollege of Computer Engineering Technology, Guangdong Institute of Science and Technology, Zhuhai 519090, ChinaSchool of Economic and Management, Guangzhou University of Chinese Medicine, Guangzhou 510006, ChinaWe 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.http://dx.doi.org/10.1155/2011/790942 |
| spellingShingle | Wenjun Yuan Bing Zhu Jianming Lin Normal Criteria of Function Families Concerning Shared Values Journal of Applied Mathematics |
| title | Normal Criteria of Function Families Concerning Shared Values |
| title_full | Normal Criteria of Function Families Concerning Shared Values |
| title_fullStr | Normal Criteria of Function Families Concerning Shared Values |
| title_full_unstemmed | Normal Criteria of Function Families Concerning Shared Values |
| title_short | Normal Criteria of Function Families Concerning Shared Values |
| title_sort | normal criteria of function families concerning shared values |
| url | http://dx.doi.org/10.1155/2011/790942 |
| work_keys_str_mv | AT wenjunyuan normalcriteriaoffunctionfamiliesconcerningsharedvalues AT bingzhu normalcriteriaoffunctionfamiliesconcerningsharedvalues AT jianminglin normalcriteriaoffunctionfamiliesconcerningsharedvalues |