解析函数的m阶极点的一个特征

An alternative characterization of pole of order m in analytic function

文[1]中给出了孤立奇点a是解析函数的m阶极点的三个特征.在此基础上,本文又证明了解析函数为f(z)=h(z)/φ(z)形式下以a为m阶极点的另一个特征,为判别解析函数的极点类型及阶数提供了一种便捷的方法.

Paper [1] has given three alternative characterizations of pole of order m in analytic function.Based on that,this paper shows a new alternative characterization of pole of order m in analytic function with the formf（z）=h（z）/φ（z）.The characterization provides a convenient approach to determining the type and the order of pole of analytic function.