Properties of differences of meromorphic functions

被引：0
作者：
Zong-Xuan Chen
Kwang Ho Shon
机构：
[1] South China Normal University,School of Mathematical Sciences
[2] Pusan National University,Department of Mathematics, College of Natural Sciences
来源：
Czechoslovak Mathematical Journal | 2011年 / 61卷
关键词：
meromorphic function; difference; divided difference; zero; fixed point; 30D35; 39A10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let f be a transcendental meromorphic function. We propose a number of results concerning zeros and fixed points of the difference g(z) = f(z + c) − f(z) and the divided difference g(z)/f(z).
引用
收藏
相关论文
共 31 条
[1]  
Ablowitz M.(2000)On the extension of Painlevé property to difference equations Nonlinearity 13 889-905
[2]  
Halburd R. G.(2007)Zeros of differences of meromorphic functions Math. Proc. Camb. Phil. Soc. 142 133-147
[3]  
Herbst B.(1995)On the singularities of the inverse to a meromorphic function of finite order Rev. Mat. Iberoamericana 11 355-373
[4]  
Bergweiler W.(2008)On zeros and fixed points of differences of meromorphic functions J. Math. Anal. Appl. 344-1 373-383
[5]  
Langley J. K.(2008)On the Nevanlinna characteristic of Ramanujan J. 16 105-129
[6]  
Bergweiler W.(1993)( J. London Math. Soc. 47-2 309-320
[7]  
Eremenko A.(1994)+ J. Anal. Math. 62 271-286
[8]  
Chen Z. X.(1988)) and difference equations in the complex plane J. London Math. Soc. 37-2 88-104
[9]  
Shon K. H.(2006)On equilibrium points of logarithmic and Newtonian potentials J. Math. Anal. Appl. 314 477-487
[10]  
Chiang Y. M.(2006)On the zeros of meromorphic functions of the form Σ Ann. Acad. Sci. Fenn. Math. 31 463-478
1234