Integral presentations of Catalan numbers

DOI10.1080/00207390902971973zbMath1292.97016OpenAlexW2153382684WikidataQ99705155 ScholiaQ99705155MaRDI QIDQ3552002

Thierry Dana-Picard

Publication date: 19 April 2010

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207390902971973

zbMATH Keywords

integral representationCatalan numbersparametric integrals

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Binomial coefficients; factorials; (q)-identities (11B65) One-variable calculus (26A06) Number theory (educational aspects) (97F60) Integral calculus (educational aspects) (97I50)

Related Items (8)

The inverse of a triangular matrix and several identities of the Catalan numbers ⋮ Integral representations of the Catalan numbers and their applications ⋮ A framework for an ICT-based study of parametric integrals ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Integral presentations of Catalan numbers and Wallis formula ⋮ Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers ⋮ Sequences of definite integrals, infinite series and Stirling numbers

Cites Work

• Explicit closed forms for parametric integrals
• Parametric integrals and Catalan numbers

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