Integral presentations of Catalan numbers and Wallis formula

DOI10.1080/0020739X.2010.519792zbMath1273.97040OpenAlexW2030555106WikidataQ60692340 ScholiaQ60692340MaRDI QIDQ3069689

Thierry Dana-Picard

Publication date: 19 January 2011

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

Full work available at URL: https://doi.org/10.1080/0020739x.2010.519792

zbMATH Keywords

integral representationCatalan numbersWallis formula

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) One-variable calculus (26A06) Number theory (educational aspects) (97F60) Integral calculus (educational aspects) (97I50)

Related Items (7)

Integral representations of the Catalan numbers and their applications ⋮ Unnamed Item ⋮ Enumerative combinatorics of \textit{XX0} Heisenberg chain ⋮ Unnamed Item ⋮ Exploration of parametric integrals related to a question of soil mechanics ⋮ Catalan and Motzkin integral representations ⋮ Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers

Cites Work

• Integral presentations of Catalan numbers
• Explicit closed forms for parametric integrals
• Parametric integrals and Catalan numbers

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