论文信息 - Matrices related to the Bell polynomials

Matrices related to the Bell polynomials

Abstract In this paper, we study the matrices related to the partial exponential Bell polynomials and those related to the Bell polynomials with respect to Ω . As a result, the factorizations of these matrices are obtained, which give unified approaches to the factorizations of many lower triangular matrices. Moreover, some combinatorial identities are also derived from the corresponding matrix representations.

Tianming Wang | Weiping Wang | Weiping Wang | Tian-ming Wang

[1] M. Bayat,et al. THE LINEAR ALGEBRA OF THE GENERALIZED PASCAL FUNCTIONAL MATRIX , 1999 .

[2] Sadek Bouroubi,et al. On new identities for Bell's polynomials , 2005, Discret. Math..

[3] Gi-Sang Cheon,et al. Factorial Stirling matrix and related combinatorial sequences , 2002 .

[4] Xiqiang Zhao,et al. The algebraic properties of the generalized Pascal functional matrices associated with the exponential families , 2000 .

[5] Zhizheng Zhang,et al. An extension of the generalized pascal matrix and its algebraic properties , 1998 .

[6] Zhizheng Zhang,et al. Generalized Pascal matrix and recurrence sequences , 1998 .

[7] Robert Brawer,et al. The linear algebra of the pascal matrix , 1992 .

[8] Zhizheng Zhang. The linear algebra of the generalized Pascal matrix , 1997 .

[9] Tianming Wang,et al. Lah Matrix and Its Algebraic Properties , 2004, Ars Comb..

[10] Daniel J. Velleman,et al. Pascal's Matrices , 1993 .

[11] Pascal Matrices and Stirling Numbers , 1998 .

[12] Gi-Sang Cheon,et al. Stirling matrix via Pascal matrix , 2001 .

[13] N. J. A. Sloane,et al. The On-Line Encyclopedia of Integer Sequences , 2003, Electron. J. Comb..