化归法在幂级数求和问题中的应用  

Method of Normalization for the Sums of Power Series

作　　者：郭艳鹂 焦红英[1] 任谨慎 GUO Yanli;JIAO Hongying;REN Jinshen(Basic Department,Air Force Engineering University,Xi'an 710051,PRC)

机构地区：[1]空军工程大学基础部,陕西西安710051

出　　处：《高等数学研究》2021年第3期65-67,43,共4页Studies in College Mathematics

摘　　要：本文首先介绍了幂级数求和问题中经常遇到的三种基本类型,其次讨论了如何使用化归法以及幂级数的特殊性质将复杂的幂级数求和问题转化为这三种基本类型.In this paper,three basic types of power series and their sums are discussed.Ways to break a complicated power series into the basic types by using the method of normalization and the special property of power series are illustrated.

关 键 词：化归法 幂级数 和函数 等比级数 

分 类 号：O173[理学—数学]