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

^*Corresponding author for this work

School of Mathematical Sciences

Shandong University

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	181-188
Number of pages	8
Journal	Acta Mathematica Sinica, Chinese Series
Volume	57
Issue number	1
State	Published - Jan 2014

Keywords

Difference
Finite order
Meromorphic solution

Cite this

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title = "Meromorphic solutions of Painlev{\'e} III difference equations",

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.",

keywords = "Difference, Finite order, Meromorphic solution",

author = "Zhang, \{Ji Long\} and Yang, \{Lian Zhong\}",

year = "2014",

month = jan,

language = "英语",

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pages = "181--188",

journal = "Acta Mathematica Sinica, Chinese Series",

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publisher = "Chinese Academy of Sciences",

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T1 - Meromorphic solutions of Painlevé III difference equations

AU - Zhang, Ji Long

AU - Yang, Lian Zhong

PY - 2014/1

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N2 - 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.

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

VL - 57

SP - 181

EP - 188

JO - Acta Mathematica Sinica, Chinese Series

JF - Acta Mathematica Sinica, Chinese Series

IS - 1

ER -

Meromorphic solutions of Painlevé III difference equations

Abstract

Keywords

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