Some identities on Catalan numbers and hypergeometric functions via Catalan matrix power

DOI10.1016/j.amc.2011.03.138zbMath1222.15035OpenAlexW2059931381MaRDI QIDQ547979

Stefan Stanimirović

Publication date: 27 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.138

zbMATH Keywords

Catalan numberidentitieshypergeometric functionbinomial coefficientPascal matrix\(_{2}F_{1}\)\(_{3}F_{2}\).Catalan matrix

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Matrix equations and identities (15A24) Classical hypergeometric functions, ({}_2F_1) (33C05) Matrices of integers (15B36)

Related Items

Inversion of Catalan matrix plus one, The cyclic groups generated by Catalan matrices, A unified approach for the Catalan matrices by using Riordan arrays

Uses Software

• SumTools

Cites Work

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• The Lucas matrix and some combinatorial identities
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• Bernoulli matrix and its algebraic properties
• Pascal's Matrices
• Computable Data, Mathematics, and Digital Libraries in Mathematica and Wolfram|Alpha
• Stirling matrix via Pascal matrix
• The linear algebra of the generalized Pascal matrix