Matrices related to the Bell polynomials

DOI10.1016/j.laa.2006.09.015zbMath1112.05010OpenAlexW2085298006MaRDI QIDQ869923

Weiping Wang, Tian-ming Wang

Publication date: 9 March 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.09.015

zbMATH Keywords

combinatorial identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Special sequences and polynomials (11B83) Matrices, determinants in number theory (11C20)

Related Items (5)

Identities via Bell matrix and Fibonacci matrix ⋮ Matrix factorization of the \(n \times n\) shift Bell matrix ⋮ General identities on Bell polynomials ⋮ Generalized Riordan arrays ⋮ Jordan canonical form of Pascal-type matrices via sequences of binomial type

Uses Software

• OEIS

Cites Work

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• Pascal matrices and Stirling numbers
• Generalized Pascal matrix and recurrence sequences.
• The linear algebra of the generalized Pascal functional matrix
• The linear algebra of the Pascal matrix
• An extension of the generalized Pascal matrix and its algebraic properties
• The algebraic properties of the generalized Pascal functional matrices associated with the exponential families
• On new identities for Bell's polynomials
• Factorial Stirling matrix and related combinatorial sequences
• Pascal's Matrices
• Stirling matrix via Pascal matrix
• The linear algebra of the generalized Pascal matrix

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