中文摘要：

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。

英文摘要：

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.