Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painlevé Equations
In this paper, we mainly study the properties of transcendental meromorphic solutions f(z) of difference Painlevé equations w(z+1)w(z-1)(w(z)-1)=η(z)w2(z)-λ(z)w(z) and w(z+1)w(z-1)(w(z)-1)=η(z)w(z) and obtain precise estimations of the exponents of convergence of zeros, poles of Δf(z) and Δf(z)/f(z)...
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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/10.1155/2014/782024 |
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| author | Shuang-Ting Lan Zong-Xuan Chen |
| author_facet | Shuang-Ting Lan Zong-Xuan Chen |
| author_sort | Shuang-Ting Lan |
| collection | DOAJ |
| description | In this paper, we mainly study the properties of transcendental meromorphic solutions f(z) of difference Painlevé equations w(z+1)w(z-1)(w(z)-1)=η(z)w2(z)-λ(z)w(z) and w(z+1)w(z-1)(w(z)-1)=η(z)w(z) and obtain precise estimations of the exponents of convergence of zeros, poles of Δf(z) and Δf(z)/f(z), and of fixed points of f(z+c) for any c∈ℂ. |
| format | Article |
| id | doaj-art-7f55df2ae95a499fa27823534c8a14e2 |
| 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-7f55df2ae95a499fa27823534c8a14e22025-02-03T01:09:57ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/782024782024Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painlevé EquationsShuang-Ting Lan0Zong-Xuan Chen1School of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaSchool of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaIn this paper, we mainly study the properties of transcendental meromorphic solutions f(z) of difference Painlevé equations w(z+1)w(z-1)(w(z)-1)=η(z)w2(z)-λ(z)w(z) and w(z+1)w(z-1)(w(z)-1)=η(z)w(z) and obtain precise estimations of the exponents of convergence of zeros, poles of Δf(z) and Δf(z)/f(z), and of fixed points of f(z+c) for any c∈ℂ.http://dx.doi.org/10.1155/2014/782024 |
| spellingShingle | Shuang-Ting Lan Zong-Xuan Chen Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painlevé Equations Abstract and Applied Analysis |
| title | Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painlevé Equations |
| title_full | Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painlevé Equations |
| title_fullStr | Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painlevé Equations |
| title_full_unstemmed | Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painlevé Equations |
| title_short | Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painlevé Equations |
| title_sort | zeros poles and fixed points of meromorphic solutions of difference painleve equations |
| url | http://dx.doi.org/10.1155/2014/782024 |
| work_keys_str_mv | AT shuangtinglan zerospolesandfixedpointsofmeromorphicsolutionsofdifferencepainleveequations AT zongxuanchen zerospolesandfixedpointsofmeromorphicsolutionsofdifferencepainleveequations |