Estimates for the zeros of differences of meromorphic functions

被引：41

作者：

Chen ZongXuan ^{[2
]}

Shon Kwang Ho ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Coll Nat Sci, Pusan 609735, South Korea

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2009年 / 52卷 / 11期

基金：

中国国家自然科学基金;

关键词：

complex difference; zero; exponents of convergence; WIMAN-VALIRON METHOD; EQUATIONS;

D O I：

10.1007/s11425-009-0159-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f be a transcendental meromorphic function and g(z) = f (z + c(1)) + f(z + c(2)) - 2f(z) and g(2) (z) = f (z + c(1)) . f (z + c(2)) - f(2)(z). The exponents of convergence of zeros of differences g(z), g(2)(z), g(z)/f(z), and g(2)(z)/f(2)(z) are estimated accurately.

引用

页码：2447 / 2458

页数：12

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