Unicity of Meromorphic Solutions of the Pielou Logistic Equation
This paper mainly considers the unicity of meromorphic solutions of the Pielou logistic equation yz+1=Rzyz/Qz+Pzyz, where Pz,Qz, and Rz are nonzero polynomials. It shows that the finite order transcendental meromorphic solution of the Pielou logistic equation is mainly determined by its poles and 1-...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/4253967 |
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| _version_ | 1832560689760174080 |
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| author | Sheng Li Baoqin Chen |
| author_facet | Sheng Li Baoqin Chen |
| author_sort | Sheng Li |
| collection | DOAJ |
| description | This paper mainly considers the unicity of meromorphic solutions of the Pielou logistic equation yz+1=Rzyz/Qz+Pzyz, where Pz,Qz, and Rz are nonzero polynomials. It shows that the finite order transcendental meromorphic solution of the Pielou logistic equation is mainly determined by its poles and 1-value points. Examples are given for the sharpness of our result. |
| format | Article |
| id | doaj-art-b26f7f4e287242158db372c7e55ecc72 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b26f7f4e287242158db372c7e55ecc722025-02-03T01:27:03ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/42539674253967Unicity of Meromorphic Solutions of the Pielou Logistic EquationSheng Li0Baoqin Chen1Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, ChinaFaculty of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, ChinaThis paper mainly considers the unicity of meromorphic solutions of the Pielou logistic equation yz+1=Rzyz/Qz+Pzyz, where Pz,Qz, and Rz are nonzero polynomials. It shows that the finite order transcendental meromorphic solution of the Pielou logistic equation is mainly determined by its poles and 1-value points. Examples are given for the sharpness of our result.http://dx.doi.org/10.1155/2020/4253967 |
| spellingShingle | Sheng Li Baoqin Chen Unicity of Meromorphic Solutions of the Pielou Logistic Equation Discrete Dynamics in Nature and Society |
| title | Unicity of Meromorphic Solutions of the Pielou Logistic Equation |
| title_full | Unicity of Meromorphic Solutions of the Pielou Logistic Equation |
| title_fullStr | Unicity of Meromorphic Solutions of the Pielou Logistic Equation |
| title_full_unstemmed | Unicity of Meromorphic Solutions of the Pielou Logistic Equation |
| title_short | Unicity of Meromorphic Solutions of the Pielou Logistic Equation |
| title_sort | unicity of meromorphic solutions of the pielou logistic equation |
| url | http://dx.doi.org/10.1155/2020/4253967 |
| work_keys_str_mv | AT shengli unicityofmeromorphicsolutionsofthepieloulogisticequation AT baoqinchen unicityofmeromorphicsolutionsofthepieloulogisticequation |