一类复变函数极点阶数的确定

Method of determining order of polar point for a kind compex function

对形如f(z)=P(z)/Q(z)的函数,当z=a是f(z)的极点且分别是P(z)与Q(z)的零点时,如何确定其极点的阶数,给出了两种计算方法并作出严格论证。

This paper provides a method of how to determine the pole of the order for a complex function f(z) = P(z)/Q(z),when z=a is both the pole of f(z) and the zero point of P(z),Q(z) ,respectively. Finally, we provide two approaches of numeration and give a rigorous proof.