Derivatives of Meromorphic Functions with Multiple Zeros and Small Functions
Let fz be a meromorphic function in ℂ, and let αz=Rzhz≢0, where hz is a nonconstant elliptic function and Rz is a rational function. Suppose that all zeros of fz are multiple except finitely many and Tr,α=oTr,f as r→∞. Then f'z=αz has infinitely many solutions.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/310251 |
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| _version_ | 1850159240992260096 |
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| author | Pai Yang Peiyan Niu |
| author_facet | Pai Yang Peiyan Niu |
| author_sort | Pai Yang |
| collection | DOAJ |
| description | Let fz be a meromorphic function in ℂ, and let αz=Rzhz≢0,
where hz is a nonconstant elliptic function and Rz is a rational function. Suppose that all zeros of fz are multiple except finitely many and Tr,α=oTr,f as r→∞. Then f'z=αz has infinitely many solutions. |
| format | Article |
| id | doaj-art-b1281fa4c3df4b51a5f477071e1268ca |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b1281fa4c3df4b51a5f477071e1268ca2025-08-20T02:23:36ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/310251310251Derivatives of Meromorphic Functions with Multiple Zeros and Small FunctionsPai Yang0Peiyan Niu1College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, ChinaDepartment of Mathematics, Anhui Science and Technology University, Chuzhou 233100, ChinaLet fz be a meromorphic function in ℂ, and let αz=Rzhz≢0, where hz is a nonconstant elliptic function and Rz is a rational function. Suppose that all zeros of fz are multiple except finitely many and Tr,α=oTr,f as r→∞. Then f'z=αz has infinitely many solutions.http://dx.doi.org/10.1155/2014/310251 |
| spellingShingle | Pai Yang Peiyan Niu Derivatives of Meromorphic Functions with Multiple Zeros and Small Functions Abstract and Applied Analysis |
| title | Derivatives of Meromorphic Functions with Multiple Zeros and Small Functions |
| title_full | Derivatives of Meromorphic Functions with Multiple Zeros and Small Functions |
| title_fullStr | Derivatives of Meromorphic Functions with Multiple Zeros and Small Functions |
| title_full_unstemmed | Derivatives of Meromorphic Functions with Multiple Zeros and Small Functions |
| title_short | Derivatives of Meromorphic Functions with Multiple Zeros and Small Functions |
| title_sort | derivatives of meromorphic functions with multiple zeros and small functions |
| url | http://dx.doi.org/10.1155/2014/310251 |
| work_keys_str_mv | AT paiyang derivativesofmeromorphicfunctionswithmultiplezerosandsmallfunctions AT peiyanniu derivativesofmeromorphicfunctionswithmultiplezerosandsmallfunctions |