Normal families of holomorphic functions

Journal of the Australian Mathematical Society

Huai-Hui Chen¹ 

[1] Xin-Hou Hua

关键词: 30D45;    30D35;   

DOI  :  10.1017/S1446788700038490

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let a(z) be a meromorphic function with only simple poles, and let k∈ N. Suppose that f(z) is meromorphic. We first set up an inequality in which T(r, f) is bounded by the counting function of the zeros of f(k) + af2, and then we prove a corresponding normal criterion. An example shows that the restriction on the poles of a(z) is best possible.

【 授权许可】

Unknown