A New Matrix Inversion for Bell Polynomials and Its Applications

作     者：Jin WANG 

作者机构：Department of Mathematics Zhejiang Normal University Department of Mathematics Soochow University 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文版))

年 卷 期：2019年第39卷第4期

页      面：331-342页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11401237) 

主　　题：Bell polynomials Bell matrix matrix inversion Lagrange inversion formula binomialtype sequence Wronski determinant Faà di Bruno formula 

摘      要：The present paper gives a new Bell matrix inversion which arises from the classical Lagrange inversion formula. Some new relations for the Bell polynomials are obtained, including a Bell matrix inversion in closed form and an inverse form of the classical Fa`a di Bruno formula.