Uniqueness of Meromorphic Functions Concerning Their Differences and Solutions of Difference PainlevÉ Equations

被引:0
作者
Xiaoguang Qi
Nan Li
Lianzhong Yang
机构
[1] University of Jinan,School of Mathematics
[2] Shandong University,School of Mathematics
来源
Computational Methods and Function Theory | 2018年 / 18卷
关键词
Meromorphic functions; Difference Painlevé equation; Value sharing; Primary 39A05; Secondary 30D35;
D O I
暂无
中图分类号
学科分类号
摘要
This paper is devoted to studying some shared value properties for finite-order meromorphic solutions of the difference Painlevé IV equation. We also consider sharing value problems for the derivative of a meromorphic function f(z) with its shift f(z+c)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f(z+c)$$\end{document} and difference Δf\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Delta f$$\end{document}.
引用
收藏
页码:567 / 582
页数:15
相关论文
共 37 条
[1]  
Charak KS(2016)A note on partial sharing of values of meromorphic functions with their shifts J. Math. Anal. Appl. 435 1241-1248
[2]  
Korhonen RJ(2013)On sharing values of meromorphic functions and their differences Results Math. 63 557-565
[3]  
Kumar G(2008)On the Nevanlinna characteristic of Ramanujan J. 16 105-129
[4]  
Chen ZX(2007) and difference equations in the complex plane Math. Proc. Camb. Philos. Soc. 142 133-147
[5]  
Yi HX(1992)Zeros of differences of meromorphic functions Complex Var. Elliptic Equ. 20 99-106
[6]  
Chiang YM(2006)Meromorphic functions that share three values IM and a fourth value CM Ann. Acad. Sci. Fenn. 31 463-478
[7]  
Feng SJ(2006)Nevanlinna theory for the difference operator J. Math. Anal. Appl. 314 477-487
[8]  
Bergweiler W(2007)Difference analogue of the lemma on the logarithmic derivative with applications to difference equations Proc. Lond. Math. Soc. 94 443-474
[9]  
Langley JK(2009)Finite order solutions and the discrete Painlevé equations J. Math. Anal. Appl. 355 352-363
[10]  
Gundersen GG(2011)Value sharing results for shifts of meromorphic function, and sufficient conditions for periodicity Complex Var. Elliptic Equ. 56 81-92