∞∑n=0(a_(n)±b_(n))x^(n)型幂级数收敛域的求法  

On the Convergence Domain of the Power Series∞∑n=0(a_(n)±b_(n))x^(n)

作　　者：韩建新 HAN Jianxin(School of Mathematics and Quantitative Economics,Shandong University of Finance and Economics, Jinan 250014, China)

机构地区：[1]山东财经大学数学与数量经济学院,山东济南250014

出　　处：《高等数学研究》2022年第3期10-12,共3页Studies in College Mathematics

基　　金：国家自然科学基金(11971259).

摘　　要：利用数项级数的性质和Abel定理给出了∞∑n=0(a_(n)±b_(n))x^(n)型幂级数收敛域的相关定理,进而提出了这类幂级数收敛域的求法,并举例进行了论证说明.In this paper,using properties of series of number terms and Abel's theorem,the related theorems and methods for the convergence domain of the power series∞∑n=0(a_(n)±b_(n))x^(n)are given and demonstrated by some examples.

关 键 词：幂级数 收敛域 

分 类 号：O127[理学—数学]