Parametric improper integrals, Wallis formula and Catalan numbers

DOI10.1080/0020739X.2011.599877zbMath1241.97005OpenAlexW2042790204MaRDI QIDQ2890125

Thierry Dana-Picard, David G. Zeitoun

Publication date: 8 June 2012

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.2011.599877

zbMATH Keywords

Catalan numbersimproper integralsWallis formula

Mathematics Subject Classification ID

Sequences and series (educational aspects) (97I30) Integral calculus (educational aspects) (97I50)

Related Items (6)

Integral representations of the Catalan numbers and their applications ⋮ Integral representations, monotonic properties, and inequalities on extended central binomial coefficient ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An Improper Integral, the Beta Function, the Wallis Ratio, and the Catalan Numbers

Cites Work

• Closed forms for 4-parameter families of integrals
• Explicit closed forms for parametric integrals
• Parametric integrals and Catalan numbers

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