The linear algebra of ther-Whitney matrices

DOI10.1080/10652469.2014.984180zbMath1371.11062OpenAlexW2002448494MaRDI QIDQ5498542

José L. Ramírez, István Mezö

Publication date: 9 February 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2014.984180

zbMATH Keywords

combinatorial identities\(r\)-Whitney numberPascal matrix\(r\)-Whitney matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Determinants, permanents, traces, other special matrix functions (15A15)

Related Items (15)

Some identities of the \(r\)-Whitney numbers ⋮ Determinants involving the numbers of the Stirling-type ⋮ A new approach to the \(r\)-Whitney numbers by using combinatorial differential calculus ⋮ Extensions of set partitions and permutations ⋮ New combinatorial interpretations of \(r\)-Whitney and \(r\)-Whitney-Lah numbers ⋮ A q-analogue of α־-Whitney numbers ⋮ The noncentral version of the Whitney numbers: a comprehensive study ⋮ The orthomorphism graph \(\mathcal{L}_3(q)\) ⋮ Eulerian numbers associated with arithmetical progressions ⋮ Some polynomials associated with the \(r\)-Whitney numbers ⋮ Unnamed Item ⋮ Some identities related to ther-Whitney numbers ⋮ New convolutions for complete and elementary symmetric functions ⋮ Matchings in complete bipartite graphs and the $r$-Lah numbers ⋮ The \(r\)-central factorial numbers with even indices

Cites Work

• Unnamed Item
• A note on the \(r\)-Whitney numbers of Dowling lattices
• A convolution for complete and elementary symmetric functions
• A refinement of Faulhaber's theorem concerning sums of powers of natural numbers
• \(r\)-Whitney numbers of Dowling lattices
• A new formula for the Bernoulli polynomials
• The \(r\)-Stirling numbers
• On Whitney numbers of Dowling lattices
• On some numbers related to Whitney numbers of Dowling lattices
• Factorial Stirling matrix and related combinatorial sequences
• On a connection between the Pascal, Stirling and Vandermonde matrices
• The generalized order-\(k\) Fibonacci-Pell sequence by matrix methods
• Pascal's Matrices
• Stirling matrix via Pascal matrix
• The linear algebra of the generalized Pascal matrix

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