A Note on Entire Functions That Share Two Small Functions
This note is to show that if f is a nonconstant entire function that shares two pairs of small functions ignoring multiplicities with its first derivative f', then there exists a close linear relationship between f and f'. This result is a generalization of some results obtained by Rubel a...
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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/10.1155/2014/601507 |
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| _version_ | 1832566730700881920 |
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| author | Jun-Fan Chen |
| author_facet | Jun-Fan Chen |
| author_sort | Jun-Fan Chen |
| collection | DOAJ |
| description | This note is to show that if f is a nonconstant entire function that shares two pairs of small functions ignoring multiplicities with its first derivative f', then there exists a close linear relationship between f and f'. This result is a generalization of some results obtained by Rubel and Yang, Mues and Steinmetz, Zheng and Wang, and Qiu. Moreover, examples are provided to show that the conditions in the result are sharp. |
| format | Article |
| id | doaj-art-091e79a53c044b1e9db95cefd339c558 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-091e79a53c044b1e9db95cefd339c5582025-02-03T01:03:20ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/601507601507A Note on Entire Functions That Share Two Small FunctionsJun-Fan Chen0Department of Mathematics, Fujian Normal University, Fuzhou, Fujian 350007, ChinaThis note is to show that if f is a nonconstant entire function that shares two pairs of small functions ignoring multiplicities with its first derivative f', then there exists a close linear relationship between f and f'. This result is a generalization of some results obtained by Rubel and Yang, Mues and Steinmetz, Zheng and Wang, and Qiu. Moreover, examples are provided to show that the conditions in the result are sharp.http://dx.doi.org/10.1155/2014/601507 |
| spellingShingle | Jun-Fan Chen A Note on Entire Functions That Share Two Small Functions Abstract and Applied Analysis |
| title | A Note on Entire Functions That Share Two Small Functions |
| title_full | A Note on Entire Functions That Share Two Small Functions |
| title_fullStr | A Note on Entire Functions That Share Two Small Functions |
| title_full_unstemmed | A Note on Entire Functions That Share Two Small Functions |
| title_short | A Note on Entire Functions That Share Two Small Functions |
| title_sort | note on entire functions that share two small functions |
| url | http://dx.doi.org/10.1155/2014/601507 |
| work_keys_str_mv | AT junfanchen anoteonentirefunctionsthatsharetwosmallfunctions AT junfanchen noteonentirefunctionsthatsharetwosmallfunctions |