摘要
对形如∞∑n=0cnzφ(n)的级数的收敛域(约定收敛域为开域),作了较深入的探讨,把级数的数域扩张到复数域,对指数也作了较大的扩展,并且得出了两个定理,给出了这种复级数的比较简单的判定方法,并作了较严格的理论证明。
The convergence field,which is defined as open field in this paper,of the series like ∑n=0^∞cnz^φ（n） is deeply discussed,the field of series is expanded into complex field,the exponent is also largely expanded,and two theorems are obtained.A relatively simple method for determining this kind of complex series is given and has been strictly verified.
出处
《重庆工商大学学报（自然科学版）》
2011年第4期376-378,共3页
Journal of Chongqing Technology and Business University:Natural Science Edition
关键词
函数项级数
幂级数
阿贝尔定理
收敛半径
收敛区间
series of function term
power series
Abel Theorem
convergence radius
convergence interval
