关于2阶线性微分方程f″+Af'+Bf=0解的增长性
On the Growth of Solutions of the Second Order Linear Differential Equation f"+Af'+Bf =0

运用Nevanlinna值分布的理论和方法,研究了2阶亚纯系数线性微分方程f"+Af'+Bf=0解的增长性,在假设A或B具有有限或无穷亏值的不同条件下,证明了方程的每一非零解的增长级均为无穷.
By using the fundamental theory and method of value distribution of Nevanlinna,the growth of solutions of the second order linear differential equations f ″+Af '+Bf=0 is considered where A(z) and B(z) are meromorphic function.Assuming A(z) or B(z) have a finite or infinite deficient value,it was proved that every solution f??0 of the complex differential equation has infinite order