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

Journal of inequalities and applications

Pengcheng Wu¹ 

关键词: deficient value;    Edrei-Fuchs class;    meromorphic function;    infinite order;   

DOI  :  10.1186/1029-242X-2012-117

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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

【 授权许可】

CC BY