Generalized Pascal functional matrix and its applications

DOI10.1016/j.laa.2006.12.014zbMath1115.15012OpenAlexW2074927252MaRDI QIDQ880029

Catherine Micek, Yongzhi Yang

Publication date: 10 May 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.2006.12.014

zbMATH Keywords

combinatorial identitiesPascal matricesgeneralized Pascal functional matrixLU decomposition

Mathematics Subject Classification ID

Factorization of matrices (15A23) Combinatorial identities, bijective combinatorics (05A19) Matrices over function rings in one or more variables (15A54)

Related Items (16)

Certain properties of the Laguerre-Sheffer polynomials ⋮ A matrix approach to some identities involving Sheffer polynomial sequences ⋮ On the \(q\)-Lie group of \(q\)-Appell polynomial matrices and related factorizations ⋮ A linear algebra approach to the hybrid Sheffer-Appell polynomials ⋮ Differential equation and recursive formulas of Sheffer polynomial sequences ⋮ The Pascal functional matrices with multidimensional binomial coefficients ⋮ Certain properties and applications of the 2D Sheffer and related polynomials ⋮ Extended Bernoulli and Stirling matrices and related combinatorial identities ⋮ Generalized Schröder matrix and its combinatorial interpretation ⋮ \(q\)-Pascal and \(q\)-Wronskian matrices with implications to \(q\)-Appell polynomials ⋮ A generalization of the \(k\)-bonacci sequence from Riordan arrays ⋮ Jordan canonical form of Pascal-type matrices via sequences of binomial type ⋮ Bell polynomials and formulae for derivatives ⋮ Some new identities involving Sheffer-Appell polynomial sequences via matrix approach ⋮ A unified matrix approach to the representation of Appell polynomials ⋮ Unnamed Item

Cites Work

• Unnamed Item
• 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 factorization of block matrices with generalized geometric progression rows
• The algebraic properties of the generalized Pascal functional matrices associated with the exponential families
• Matrix approach to polynomials. II
• Pascal's Matrices
• Stirling matrix via Pascal matrix

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