DIRECT TRANSCENDENTAL SINGULARITIES FOR INVERSE FUNCTIONS OF MEROMORPHIC FUNCTIONS AND OF THEIR DERIVATIVES

被引：0

作者：

张广厚

机构：

[1] Institute of Mathematics

[2] Academia Sinica

[3] Beijing

来源：

Science China Mathematics | 1982年 / 08期

关键词：

DIRECT TRANSCENDENTAL SINGULARITIES FOR INVERSE FUNCTIONS OF MEROMORPHIC FUNCTIONS AND OF THEIR DERIVATIVES;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper proves the following result: Let f（z） be a meromorphic function of order ρ and pi be thenumber of the distinct finite non-zero direct transcendental singularities of the inverse function of the i-thderivative of f（z） (f（z）≡f（z）). Then we haveP≤2ρ, if ρ≥1: p≤1, if 0≤ρ<1,where p = sum from i=0 to +∞（Pi）.

引用

页码：797 / 807

页数：11

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