Generalized Pascal functional matrix and its applications
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Publication:880029
DOI10.1016/j.laa.2006.12.014zbMath1115.15012OpenAlexW2074927252MaRDI QIDQ880029
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
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
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- 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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