Closed forms for 4-parameter families of integrals

• Autores: Thierry Dana-Picard, David Zeitoun
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 40, Nº. 6, 2009, págs. 828-837
• Idioma: inglés
• DOI: 10.1080/00207390902971932
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• Resumen

  • We compute closed forms for two multiparameter families of definite integrals, thus obtaining combinatorial formulas. As a consequence, a surprising formula is derived between a definite integral and an improper integral for the same parametric function.