Some Normal Criteria about Shared Values with Their Multiplicity Zeros
Let F be a family of meromorphic functions in the domain D, all of whose zeros are multiple. Let n (n≥2) be an integer and let a, b be two nonzero finite complex numbers. If f+a(f')n and g+a(g')n share b in D for every pair of functions f,g∈F, then F is normal in D.
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| Format: | Article |
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Hindawi Limited
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/147878 |
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doaj-21d836ceac0543e7b34064c5745efe082020-11-24T21:41:25ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/147878147878Some Normal Criteria about Shared Values with Their Multiplicity ZerosJianming Qi0Taiying Zhu1Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 200240, ChinaDepartment of Mathematics and Physics, Shanghai Dianji University, Shanghai 200240, ChinaLet F be a family of meromorphic functions in the domain D, all of whose zeros are multiple. Let n (n≥2) be an integer and let a, b be two nonzero finite complex numbers. If f+a(f')n and g+a(g')n share b in D for every pair of functions f,g∈F, then F is normal in D.http://dx.doi.org/10.1155/2010/147878 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jianming Qi Taiying Zhu |
| spellingShingle |
Jianming Qi Taiying Zhu Some Normal Criteria about Shared Values with Their Multiplicity Zeros Abstract and Applied Analysis |
| author_facet |
Jianming Qi Taiying Zhu |
| author_sort |
Jianming Qi |
| title |
Some Normal Criteria about Shared Values with Their Multiplicity Zeros |
| title_short |
Some Normal Criteria about Shared Values with Their Multiplicity Zeros |
| title_full |
Some Normal Criteria about Shared Values with Their Multiplicity Zeros |
| title_fullStr |
Some Normal Criteria about Shared Values with Their Multiplicity Zeros |
| title_full_unstemmed |
Some Normal Criteria about Shared Values with Their Multiplicity Zeros |
| title_sort |
some normal criteria about shared values with their multiplicity zeros |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2010-01-01 |
| description |
Let F be a family of meromorphic functions in the domain D, all of whose zeros are multiple. Let n (n≥2) be an integer and let a, b be two nonzero finite complex numbers. If f+a(f')n and g+a(g')n share b in D for every pair of functions f,g∈F, then F is normal in D. |
| url |
http://dx.doi.org/10.1155/2010/147878 |
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AT jianmingqi somenormalcriteriaaboutsharedvalueswiththeirmultiplicityzeros AT taiyingzhu somenormalcriteriaaboutsharedvalueswiththeirmultiplicityzeros |
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