Unicity of Entire Functions concerning Shifts and Difference Operators
We prove a unicity theorem of entire functions that share two distinct small functions with their shifts. The corollary of the theorem confirms the conjecture posed by Li and Gao (2011).
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/380910 |
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| _version_ | 1832567520748371968 |
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| author | Dan Liu Degui Yang Mingliang Fang |
| author_facet | Dan Liu Degui Yang Mingliang Fang |
| author_sort | Dan Liu |
| collection | DOAJ |
| description | We prove a unicity theorem of entire functions that share two distinct small functions with their shifts. The corollary of the theorem confirms the conjecture posed by Li and Gao (2011). |
| format | Article |
| id | doaj-art-6f27cc76eec84d1c9dc9d871e3a11b8b |
| 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-6f27cc76eec84d1c9dc9d871e3a11b8b2025-02-03T01:01:18ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/380910380910Unicity of Entire Functions concerning Shifts and Difference OperatorsDan Liu0Degui Yang1Mingliang Fang2Institute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, ChinaInstitute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, ChinaInstitute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, ChinaWe prove a unicity theorem of entire functions that share two distinct small functions with their shifts. The corollary of the theorem confirms the conjecture posed by Li and Gao (2011).http://dx.doi.org/10.1155/2014/380910 |
| spellingShingle | Dan Liu Degui Yang Mingliang Fang Unicity of Entire Functions concerning Shifts and Difference Operators Abstract and Applied Analysis |
| title | Unicity of Entire Functions concerning Shifts and Difference Operators |
| title_full | Unicity of Entire Functions concerning Shifts and Difference Operators |
| title_fullStr | Unicity of Entire Functions concerning Shifts and Difference Operators |
| title_full_unstemmed | Unicity of Entire Functions concerning Shifts and Difference Operators |
| title_short | Unicity of Entire Functions concerning Shifts and Difference Operators |
| title_sort | unicity of entire functions concerning shifts and difference operators |
| url | http://dx.doi.org/10.1155/2014/380910 |
| work_keys_str_mv | AT danliu unicityofentirefunctionsconcerningshiftsanddifferenceoperators AT deguiyang unicityofentirefunctionsconcerningshiftsanddifferenceoperators AT mingliangfang unicityofentirefunctionsconcerningshiftsanddifferenceoperators |