A lower bound for the number of zeros of a meromorphic function and its second derivative

被引：11

作者：

Langley, JK ^{[1
]}

机构：

[1] UNIV NOTTINGHAM,NOTTINGHAM NG7 2RD,ENGLAND

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1996年 / 39卷

关键词：

D O I：

10.1017/S0013091500022884

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that for a function f(z) transcendental and meromorphic in the plane and not of the form exp(az+b), we have either N(r,1/ff'')not equal 0(T(r,f'/f)) or (r-->infinity)lim log N(r,1/ff '')/loglogr greater than or equal to 2.

引用

页码：171 / 185

页数：15

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