On the growth of solutions of second order linear differential equations with extremal coefficients

被引：0
作者：
Jian Ren Long
Peng Cheng Wu
Zheng Zhang
机构：
[1] Guizhou Normal University,School of Mathematics and Computer Science
来源：
Acta Mathematica Sinica, English Series | 2013年 / 29卷
关键词：
Entire function; deficient value; Borel direction; order; 34M10; 30D35;
D O I：
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学科分类号：
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.
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页码：365 / 372
页数：7
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