摘要
设{an}是r阶等差数列,{bn(x)}是等比数列,根据幂级数和函数的定义,同时使用数学归纳法,可导出幂级数sum anbn(x) from n=1 to ∞的和函数的一个计算公式.
Given an r-th order arithmetic sequence {an} and a geometric sequence {bn(x) }, the sum of the power series ∑ n=1^w anbn(x) is formulated. Mathematical induction is used in our approach.
出处
《高等数学研究》
2011年第3期11-12,共2页
Studies in College Mathematics
关键词
幂级数
高阶等差数列
等比数列
power series, higher order arithmetic sequence, geometric sequence