幂级数变换方法在数学分析中的应用

Application of Alternative Approach of Series of Powers in Mathematical Analysis

幂级数变换方法是近代组合数学及概率统计中常用的一种变换方法,此方法主要研究的是有关离散数列{an}的结构特征,先利用这个数列作为系数构造一个幂级数,然后利用幂级数的特点发挥来确定其系数的结构。从几类典型例子入手,着重阐述了分割变换方法在数学分析中的应用。

The alternative approach of series of powers is a commonly used method in modern combi-natorial mathematics and probability statistics.The method is mainly used to study architectural features of discrete sequence{an}.First,the sequence as coefficient was used to construct a series of powers,and then the peculiarities of series of powers were used to determine its coefficient of structure.Starting with several typical examples this paper focused on the application of partition transformation method in mathe-matical analysis.