Bell多项式矩阵与两类下三角函数矩阵的关系及其应用  

The Relation of the Matrices Related to the Bell Polynomials and Two Styles of Lower Triangular Functional Matrices and Its Applications

作　　者：辛兰萍[1] 

机构地区：[1]中国海洋大学,青岛266100

出　　处：《科学技术与工程》2011年第17期4039-4041,共3页Science Technology and Engineering

基　　金：国家自然科学基金项目(10771199)资助

摘　　要：应用下三角矩阵分解的统一方法与变量换元得到了Bell多项式矩阵与两类下三角函数矩阵的关系。通过研究其性质及其应用得到了一系列的重要的组合恒等式。The main purpose is to derive the relation of the matrices related to the Bell polynomials and two styles of lower triangular functional matrices through unified approaches to the factorizations of many lower triangular matrices and the transformation of the variable.Moreover;some combinatorial identities are also derived from the corresponding matrix representations.

关 键 词：矩阵 BELL多项式 Pascal函数矩阵 组合恒等式 

分 类 号：O151.21[理学—数学]