微分方程f″+A(z)f=0的解的零点充满圆

The Zero-Filling Discs of Infinite Order of Solutions for Differential Equation f″+A(z)f=0

设f1和f2是复方程f″+A(z)f=0的2个线性无关解,其中A(z)是一个整函数,记E=f1f2.利用无穷增长级函数的型函数,对E的零点分布进行了研究,得到了λ(E)=∞的情况下E的零点充满圆序列的一些结果.

Letfν1 andfν2 be two linearly independent solutions of the equationf＇＇＋Af=0, and let E=fν1fν2, where A（z） is an entire function. In this paper, the distribution of zeros of E is investigated. By using the type function of infinity order function, some results about the filling disc sequence of zeros of E in the case λ（E）=oo are obtained.