A Note on Normal Families of Meromorphic Functions Concerning Shared Values
We study the normality of families of meromorphic functions related to a Hayman conjecture. 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′−afn and g′−agn share the value b for n=1,2, and 3, where a and b≠0 are two finite comple...
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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/10.1155/2011/463287 |
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| _version_ | 1841524642797322240 |
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| author | Yuan Wenjun Wei Jinjin Lin Jianming |
| author_facet | Yuan Wenjun Wei Jinjin Lin Jianming |
| author_sort | Yuan Wenjun |
| collection | DOAJ |
| description | We study the normality of families of meromorphic functions related to a Hayman conjecture. 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′−afn and g′−agn share the value b for n=1,2, and 3, where a and b≠0 are two finite complex numbers. Some examples show that the conditions in our results are the best possible. |
| format | Article |
| id | doaj-art-85518f4380534ad3912194baf89daf74 |
| 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-85518f4380534ad3912194baf89daf742025-02-03T05:47:50ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/463287463287A Note on Normal Families of Meromorphic Functions Concerning Shared ValuesYuan Wenjun0Wei Jinjin1Lin Jianming2School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaSchool of Economy and Management, Guangzhou University of Chinese Medicine, Guangzhou 510006, ChinaWe study the normality of families of meromorphic functions related to a Hayman conjecture. 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′−afn and g′−agn share the value b for n=1,2, and 3, where a and b≠0 are two finite complex numbers. Some examples show that the conditions in our results are the best possible.http://dx.doi.org/10.1155/2011/463287 |
| spellingShingle | Yuan Wenjun Wei Jinjin Lin Jianming A Note on Normal Families of Meromorphic Functions Concerning Shared Values Discrete Dynamics in Nature and Society |
| title | A Note on Normal Families of Meromorphic Functions Concerning Shared Values |
| title_full | A Note on Normal Families of Meromorphic Functions Concerning Shared Values |
| title_fullStr | A Note on Normal Families of Meromorphic Functions Concerning Shared Values |
| title_full_unstemmed | A Note on Normal Families of Meromorphic Functions Concerning Shared Values |
| title_short | A Note on Normal Families of Meromorphic Functions Concerning Shared Values |
| title_sort | note on normal families of meromorphic functions concerning shared values |
| url | http://dx.doi.org/10.1155/2011/463287 |
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