Unicity of Meromorphic Solutions of the Pielou Logistic Equation

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: Sheng Li, Baoqin Chen
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/4253967
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spelling doaj-b26f7f4e287242158db372c7e55ecc722020-11-25T03:14:55ZengHindawi LimitedDiscrete 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
collection DOAJ
language English
format Article
sources DOAJ
author Sheng Li
Baoqin Chen
spellingShingle Sheng Li
Baoqin Chen
Unicity of Meromorphic Solutions of the Pielou Logistic Equation
Discrete Dynamics in Nature and Society
author_facet Sheng Li
Baoqin Chen
author_sort Sheng Li
title Unicity of Meromorphic Solutions of the Pielou Logistic Equation
title_short 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_sort unicity of meromorphic solutions of the pielou logistic equation
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2020-01-01
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.
url http://dx.doi.org/10.1155/2020/4253967
work_keys_str_mv AT shengli unicityofmeromorphicsolutionsofthepieloulogisticequation
AT baoqinchen unicityofmeromorphicsolutionsofthepieloulogisticequation
_version_ 1715268532313260032

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