Normal Families of Meromorphic Functions Concerning Higher Derivative and Shared Values
We study the normal families related to a Hayman conjecture of higher derivative and concerning shared values and get two normal criteria. Our results improve the related theorems which were obtained independently, respectively by Fang and Yuan (2001), Yuan et al. ((2011) and (2012)), Wang et al. (2...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/368321 |
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| _version_ | 1850170742118809600 |
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| author | Wei Chen Wenjun Yuan Honggen Tian |
| author_facet | Wei Chen Wenjun Yuan Honggen Tian |
| author_sort | Wei Chen |
| collection | DOAJ |
| description | We study the normal families related to a Hayman conjecture of higher derivative and concerning shared values and get two normal criteria. Our results improve the related theorems which were obtained independently, respectively by Fang and Yuan (2001), Yuan et al. ((2011) and (2012)), Wang et al. (2011), and Qiu et al. (2012). Meanwhile, some examples are given to show the sharpness of our results. |
| format | Article |
| id | doaj-art-9b1eff2436b34dbc991eead33972ac81 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9b1eff2436b34dbc991eead33972ac812025-08-20T02:20:25ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/368321368321Normal Families of Meromorphic Functions Concerning Higher Derivative and Shared ValuesWei Chen0Wenjun Yuan1Honggen Tian2School of Mathematics Sciences, Xinjiang Normal University, Urumqi, Xinjiang 830054, ChinaSchool of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong 510006, ChinaSchool of Mathematics Sciences, Xinjiang Normal University, Urumqi, Xinjiang 830054, ChinaWe study the normal families related to a Hayman conjecture of higher derivative and concerning shared values and get two normal criteria. Our results improve the related theorems which were obtained independently, respectively by Fang and Yuan (2001), Yuan et al. ((2011) and (2012)), Wang et al. (2011), and Qiu et al. (2012). Meanwhile, some examples are given to show the sharpness of our results.http://dx.doi.org/10.1155/2013/368321 |
| spellingShingle | Wei Chen Wenjun Yuan Honggen Tian Normal Families of Meromorphic Functions Concerning Higher Derivative and Shared Values Abstract and Applied Analysis |
| title | Normal Families of Meromorphic Functions Concerning Higher Derivative and Shared Values |
| title_full | Normal Families of Meromorphic Functions Concerning Higher Derivative and Shared Values |
| title_fullStr | Normal Families of Meromorphic Functions Concerning Higher Derivative and Shared Values |
| title_full_unstemmed | Normal Families of Meromorphic Functions Concerning Higher Derivative and Shared Values |
| title_short | Normal Families of Meromorphic Functions Concerning Higher Derivative and Shared Values |
| title_sort | normal families of meromorphic functions concerning higher derivative and shared values |
| url | http://dx.doi.org/10.1155/2013/368321 |
| work_keys_str_mv | AT weichen normalfamiliesofmeromorphicfunctionsconcerninghigherderivativeandsharedvalues AT wenjunyuan normalfamiliesofmeromorphicfunctionsconcerninghigherderivativeandsharedvalues AT honggentian normalfamiliesofmeromorphicfunctionsconcerninghigherderivativeandsharedvalues |