摘要
幂级数的和函数在其收敛区间上具有较好的分析性质。即:连续性、逐项可积性和逐项可微性。文章把连续性和逐项可积性推广到幂级数的收敛域上,并给出幂级数逐项求导与逐项积分后得到的幂级数与原幂级数收敛域之间的关系。
Sum series of power series have wonderful analyzing nature in its interval of convergence, namely, continuity, and item-by-by integrability and differentiability. The article extends the continuity and item-by-item to the interval of convergence of power series, and presents the relation between from the item-by-item derivation and term by term integration from power series and the interval of convergence of original power series.
出处
《唐山师范学院学报》
2001年第2期18-19,21,共3页
Journal of Tangshan Normal University
