On growth and zeros of differences of some meromorphic functions

被引：0

作者：

Liu, Yong ^{[1
,2
]}

Yi, Hongxun ^{[3
]}

机构：

[1] Shaoxing Coll Arts & Sci, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China

[2] Univ Eastern Finland, Dept Math & Phys, FI-80101 Joensuu, Finland

[3] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

ANNALES POLONICI MATHEMATICI | 2013年 / 108卷 / 03期

关键词：

meromorphic function; difference; divided difference; zero; fixed point;

D O I：

10.4064/ap108-3-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a transcendental meromorphic function and g(k)(z) = f(z + c(1)) + ... + f(z + c(k)) - kf(z), G(z) = f(z + c(1)) + f(z + c(2)) + ... + f(z + c(k)) - kf(z)/f(z). A number of results are obtained concerning zeros and fixed points of the difference g(k)(z) and the divided difference G(z).

引用

页码：305 / 318

页数：14

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