Integral presentations of Catalan numbers and Wallis formula

• Autores: Thierry Dana-Picard
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 42, Nº. 1, 2011, págs. 122-129
• Idioma: inglés
• DOI: 10.1080/0020739x.2010.519792
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• Resumen

  • Looking for closed forms for an integral depending on one parameter, we obtain integral identities and new integral presentations of Catalan numbers. Wallis formula appears as an important tool.