求复函数极点、本质奇点的新方法

A New Solution for Poles and Essential Singularity of Complex Functions

结合解析函数的特性,对复函数中孤立奇点的极点、本质奇点,探讨了其相关性质。得到了求复函数极点及其阶数、求复函数本质奇点的新方法,并对新方法进行了应用。实践表明,新方法方便、快捷,比之原来的方法,节省了很多工作量,值得推广。

Considering the features of analytic functions, the properties of poles and essential singularity in solitary singularities of the complex functions are discussed. A new method for finding the poles, orders, and the essential singularity of complex functions is obtained and put into application. Practice shows that the new solution is more convenient and efficient than the original method, which saves a lot of work and is worthy of promotion.