两对加权Stirling数偶及其性质  

On two weighted Stirling type pairs

作　　者：于洪全[1] 王天明[1] 

机构地区：[1]大连理工大学数学科学研究所

出　　处：《大连理工大学学报》1996年第4期386-390,共5页Journal of Dalian University of Technology

摘　　要：从非中心变步长差分与正常差分之间的转换关系出发，导出两对加权型Ｓｔｉｒｌｉｎｇ数偶并讨论了它们的性质．所得结果是Ｃａｒｌｉｔｚ及Ｈｏｗａｒｄ分别讨论的退化Ｓｔｉｒｌｉｎｇ数的直交扩展。Two weighted Stirling type pairs are derived via the transformations of coefficients between different kinds of non central finite differences with given increments. A quasi Schlmilch formula is proved. The results are orthogonal extensions of the previous results by Howard and Carlitz.

关 键 词：反演关系 STIRLING数 组合分析 加权型 

分 类 号：O157.1[理学—数学]