Catalan matrix and related combinatorial identities

DOI10.1016/j.amc.2009.06.003zbMath1175.05018OpenAlexW1990856192MaRDI QIDQ732425

Aleksandar Ilić, Stefan Stanimirović, Predrag S. Stanimirović, Marko B. Miladinović

Publication date: 9 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.06.003

zbMATH Keywords

combinatorial identitiesgeneralized hypergeometric functionCatalan numbersEuler gamma functionPascal matrixCatalan matrix

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Hypergeometric functions (33C99)

Related Items (11)

Fuss-Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group ⋮ A matrix approach to the binomial theorem ⋮ Inversion of Catalan matrix plus one ⋮ The cyclic groups generated by Catalan matrices ⋮ Some inverse relations determined by Catalan matrices ⋮ Some identities on Catalan numbers and hypergeometric functions via Catalan matrix power ⋮ Unnamed Item ⋮ A unified approach for the Catalan matrices by using Riordan arrays ⋮ Inverting linear combinations of identity and generalized Catalan matrices ⋮ AN ALTERNATIVE DECOMPOSITION OF CATALAN NUMBER ⋮ Ballot matrix as Catalan matrix power and related identities

Cites Work

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• The Lucas matrix and some combinatorial identities
• Some combinatorial identities via Fibonacci numbers
• An involutory Pascal matrix
• A factorization of the symmetric Pascal matrix involving the Fibonacci matrix
• Bernoulli matrix and its algebraic properties
• Inverting the Pascal Matrix Plus One
• Pascal's Matrices
• Stirling matrix via Pascal matrix
• The linear algebra of the generalized Pascal matrix

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