中文摘要：

差商展开是个非常重要的解析工具．有迹象表明其内在的思想和技巧似乎被人们所忽视或淡忘．论文的目的是对Hermite插值多项式的重节点差商表示予以系统的表述，并利用重节点差商的展开技巧证明一些在应用上相当重要的结果．

英文摘要：

Expansion of a divided difference is a seems that the underlying techniques have been long the expansions of divided differences are provided details. Meanwhile, some new identities are obtained some existing ones. very important analytical tool. But it neglected or forgotten. In this paper, and developed to give insights into , as well as new proofs are given to