Catalan-Qi numbers, series involving the Catalan-Qi numbers and a Hankel determinant evaluation

DOI10.1155/2020/8101725zbMath1489.05009OpenAlexW3088230589MaRDI QIDQ827211

Wathek Chammam

Publication date: 7 January 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8101725

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Matrices, determinants in number theory (11C20)

Related Items (1)

Hankel determinant of linear combination of the shifted catalan numbers

Cites Work

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• Three identities of the Catalan-Qi numbers
• Several formulas and identities related to Catalan-Qi and \(q\)-Catalan-Qi numbers
• Some properties of the Fuss-Catalan numbers
• Integral representations of the Catalan numbers and their applications
• Orthogonal polynomials, Catalan numbers, and a general Hankel determinant evaluation
• A remark on the Hankel determinant formula for solutions of the Toda equation
• Generalized harmonic numbers, Jacobi numbers and a Hankel determinant evaluation

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