On the growth of solutions of second order complex differential equation with meromorphic coefficients

被引：2

作者：

Wu, Pengcheng ^{[3
]}

Wu, Shengjian ^{[1
,2
]}

Zhu, Jun ^{[1
,2
]}

机构：

[1] Peking Univ, LMAM, Beijing 100871, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[3] Guizhou Normal Univ, Dept Math, Guiyang 550001, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

基金：

中国国家自然科学基金;

关键词：

deficient value; Edrei-Fuchs class; meromorphic function; infinite order; F'';

D O I：

10.1186/1029-242X-2012-117

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the differential equation f'' + Af' + Bf = 0 where A(z) and B(z) a parts per thousand cent 0 are mero-morphic functions. Assume that A(z) belongs to the Edrei-Fuchs class and B(z) has a deficient value a, if f a parts per thousand cent 0 is a meromorphic solution of the equation, then f must have infinite order. Mathematical Subject Classification 2000: 34M10; 30D35.

引用

页数：13

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