Meromorphic solutions of Painlevé III difference equations

Ji Long Zhang; Lian Zhong Yang

Meromorphic solutions of Painlevé III difference equations

Ji Long Zhang^*
, Lian Zhong Yang

^*此作品的通讯作者

数学科学学院

Shandong University

科研成果: 期刊稿件 › 文章 › 同行评审

12 引用（Scopus）

摘要

We investigate the properties of meromorphic solutions of Painlevé III difference equations. In particular, we study the existence of Borel exceptional value, the exponent of convergence of zeros, poles and fixed points of a transcendental meromorphic solution. Several sharp examples of meromorphic solutions of some Painlevé III difference equations are given.

源语言	英语
页（从-至）	181-188
页数	8
期刊	Acta Mathematica Sinica, Chinese Series
卷	57
期	1
出版状态	已出版 - 1月 2014

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abstract = "We investigate the properties of meromorphic solutions of Painlev{\'e} III difference equations. In particular, we study the existence of Borel exceptional value, the exponent of convergence of zeros, poles and fixed points of a transcendental meromorphic solution. Several sharp examples of meromorphic solutions of some Painlev{\'e} III difference equations are given.",

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AB - We investigate the properties of meromorphic solutions of Painlevé III difference equations. In particular, we study the existence of Borel exceptional value, the exponent of convergence of zeros, poles and fixed points of a transcendental meromorphic solution. Several sharp examples of meromorphic solutions of some Painlevé III difference equations are given.

KW - Difference

KW - Finite order

KW - Meromorphic solution

UR - https://www.scopus.com/pages/publications/84894690898

M3 - 文章

AN - SCOPUS:84894690898

SN - 0583-1431

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JO - Acta Mathematica Sinica, Chinese Series

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Meromorphic solutions of Painlevé III difference equations

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