Extended symmetric Pascal matrices via hypergeometric functions

DOI10.1016/j.amc.2003.08.095zbMath1071.33009OpenAlexW2014014889MaRDI QIDQ1888279

Gi-Sang Cheon, Moawwad E. A. El-Mikkawy

Publication date: 23 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.095

zbMATH Keywords

hypergeometric functionsCholesky factorizationPascal matricesLegendre polynomialsDelannoy numbers

Mathematics Subject Classification ID

Factorization of matrices (15A23) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05) Matrices of integers (15B36)

Related Items (2)

Unnamed Item ⋮ Counting lattice chains and Delannoy paths in higher dimensions

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
• On a connection between the Pascal, Vandermonde and Stirling matrices. I.
• On solving linear systems of the Pascal type
• Pascal's Matrices
• Stirling matrix via Pascal matrix
• The linear algebra of the generalized Pascal matrix

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