Explicit inverse of the Pascal matrix plus one

DOI10.1155/IJMMS/2006/90901zbMath1131.15006MaRDI QIDQ2468960

Sheng-Liang Yang, Liu, Zhongkui

Publication date: 1 February 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53779

zbMATH Keywords

Bernoulli numbersmatrix inversionPascal matrixEuler polynomials

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Theory of matrix inversion and generalized inverses (15A09) Bernoulli and Euler numbers and polynomials (11B68) Matrices of integers (15B36)

Related Items (7)

Newton representation of functions over natural integers having integral difference ratios ⋮ Bernoulli F-polynomials and fibo-Bernoulli matrices ⋮ A formula on the weight distribution of linear codes with applications to AMDS codes ⋮ Unnamed Item ⋮ A systematic approach to matrix forms of the Pascal triangle: the twelve triangular matrix forms and relations ⋮ Boundary blow-up solutions for a class of quasilinear elliptic equations ⋮ Inverting linear combinations of identity and generalized Catalan matrices

Cites Work

• Unnamed Item
• Unnamed Item
• The linear algebra of the Pascal matrix
• A note on the Bernoulli and Euler polynomials
• Remarks on some relationships between the Bernoulli and Euler polynomials.
• Pascal \(k\)-eliminated functional matrix and its property
• The Matrices of Pascal and Other Greats
• Inverting the Pascal Matrix Plus One
• Pascal's Matrices

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