Filling Disks of Hayman Type of Meromorphic Functions
We obtain the existence of the filling disks with respect to Hayman directions. We prove that, under the condition limsupr→∞(Tr,f/logr3)=∞, there exists a sequence of filling disks of Hayman type, and these filling disks can determine a Hayman direction. Every meromorphic function of positive and...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/9315248 |
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| _version_ | 1832553587472859136 |
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| author | Nan Wu Zuxing Xuan |
| author_facet | Nan Wu Zuxing Xuan |
| author_sort | Nan Wu |
| collection | DOAJ |
| description | We obtain the existence of the filling disks with respect to Hayman directions. We prove that, under the condition limsupr→∞(Tr,f/logr3)=∞, there exists a sequence of filling disks of Hayman type, and these filling disks can determine a Hayman direction. Every meromorphic function of positive and finite order ρ has a sequence of filling disks of Hayman type, which can also determine a Hayman direction of order ρ. |
| format | Article |
| id | doaj-art-0f973162d5c241708283d0ace7c1ae01 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0f973162d5c241708283d0ace7c1ae012025-02-03T05:53:36ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/93152489315248Filling Disks of Hayman Type of Meromorphic FunctionsNan Wu0Zuxing Xuan1Department of Mathematics, School of Science, China University of Mining and Technology, Beijing 100083, ChinaBeijing Key Laboratory of Information Service Engineering, Department of General Education, Beijing Union University, No. 97 Bei Si Huan Dong Road, Chaoyang District, Beijing 100101, ChinaWe obtain the existence of the filling disks with respect to Hayman directions. We prove that, under the condition limsupr→∞(Tr,f/logr3)=∞, there exists a sequence of filling disks of Hayman type, and these filling disks can determine a Hayman direction. Every meromorphic function of positive and finite order ρ has a sequence of filling disks of Hayman type, which can also determine a Hayman direction of order ρ.http://dx.doi.org/10.1155/2016/9315248 |
| spellingShingle | Nan Wu Zuxing Xuan Filling Disks of Hayman Type of Meromorphic Functions Journal of Function Spaces |
| title | Filling Disks of Hayman Type of Meromorphic Functions |
| title_full | Filling Disks of Hayman Type of Meromorphic Functions |
| title_fullStr | Filling Disks of Hayman Type of Meromorphic Functions |
| title_full_unstemmed | Filling Disks of Hayman Type of Meromorphic Functions |
| title_short | Filling Disks of Hayman Type of Meromorphic Functions |
| title_sort | filling disks of hayman type of meromorphic functions |
| url | http://dx.doi.org/10.1155/2016/9315248 |
| work_keys_str_mv | AT nanwu fillingdisksofhaymantypeofmeromorphicfunctions AT zuxingxuan fillingdisksofhaymantypeofmeromorphicfunctions |