Normal Criterion Concerning Shared Values
We study normal criterion of meromorphic functions shared values, we obtain the following. Let F be a family of meromorphic functions in a domain D, such that function f∈F has zeros of multiplicity at least 2, there exists nonzero complex numbers bf,cf depending on f satisfying (i) bf/cf is a const...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/312324 |
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| _version_ | 1849690586371588096 |
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| author | Wei Chen Yingying Zhang Jiwen Zeng Honggen Tian |
| author_facet | Wei Chen Yingying Zhang Jiwen Zeng Honggen Tian |
| author_sort | Wei Chen |
| collection | DOAJ |
| description | We study normal criterion of meromorphic functions shared values, we obtain the following. Let F be a family of meromorphic functions in a domain D, such that function f∈F has zeros of multiplicity at least 2, there exists nonzero complex numbers bf,cf depending on f satisfying (i) bf/cf is a constant; (ii)min {σ(0,bf),σ(0,cf),σ(bf,cf)≥m} for some m>0; (iii) (1/cfk-1)(f′)k(z)+f(z)≠bfk/cfk-1 or (1/cfk-1)(f′)k(z)+f(z)=bfk/cfk-1⇒f(z)=bf, then F is normal. These results improve some earlier previous results. |
| format | Article |
| id | doaj-art-eb120a2880914addb8243ef0dce016f9 |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-eb120a2880914addb8243ef0dce016f92025-08-20T03:21:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/312324312324Normal Criterion Concerning Shared ValuesWei Chen0Yingying Zhang1Jiwen Zeng2Honggen Tian3School of Mathematical Sciences, Xinjiang Normal University, Xinjiang, Urumqi 830054, ChinaSchool of Mathematical Sciences, Xinjiang Normal University, Xinjiang, Urumqi 830054, ChinaSchool of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361105, ChinaSchool of Mathematical Sciences, Xinjiang Normal University, Xinjiang, Urumqi 830054, ChinaWe study normal criterion of meromorphic functions shared values, we obtain the following. Let F be a family of meromorphic functions in a domain D, such that function f∈F has zeros of multiplicity at least 2, there exists nonzero complex numbers bf,cf depending on f satisfying (i) bf/cf is a constant; (ii)min {σ(0,bf),σ(0,cf),σ(bf,cf)≥m} for some m>0; (iii) (1/cfk-1)(f′)k(z)+f(z)≠bfk/cfk-1 or (1/cfk-1)(f′)k(z)+f(z)=bfk/cfk-1⇒f(z)=bf, then F is normal. These results improve some earlier previous results.http://dx.doi.org/10.1155/2012/312324 |
| spellingShingle | Wei Chen Yingying Zhang Jiwen Zeng Honggen Tian Normal Criterion Concerning Shared Values Journal of Applied Mathematics |
| title | Normal Criterion Concerning Shared Values |
| title_full | Normal Criterion Concerning Shared Values |
| title_fullStr | Normal Criterion Concerning Shared Values |
| title_full_unstemmed | Normal Criterion Concerning Shared Values |
| title_short | Normal Criterion Concerning Shared Values |
| title_sort | normal criterion concerning shared values |
| url | http://dx.doi.org/10.1155/2012/312324 |
| work_keys_str_mv | AT weichen normalcriterionconcerningsharedvalues AT yingyingzhang normalcriterionconcerningsharedvalues AT jiwenzeng normalcriterionconcerningsharedvalues AT honggentian normalcriterionconcerningsharedvalues |