On the Growth of Solutions of Second Order Linear Differential Equations with Extremal Coefficients  

作　　者：Jian Ren LONG Peng Cheng WU Zheng ZHANG 

机构地区：[1]School of Mathematics and Computer Science,Guizhou Normal University

出　　处：《Acta Mathematica Sinica,English Series》2013年第2期365-372,共8页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11171080);Foundation of Science and Technology Department of Guizhou Province(Grant No.[2010]07)

摘　　要：In this paper, we consider the differential equation f＂ ＋ A（z）f＇ ＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B which can guarantee that every non-trivial solution f of the equation is of infinite order.In this paper, we consider the differential equation f＂ ＋ A（z）f＇ ＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B which can guarantee that every non-trivial solution f of the equation is of infinite order.

关 键 词：Entire function deficient value Borel direction order 

分 类 号：O175[理学—数学]