Closed forms for 4-parameter families of integrals

Authors: Dana-Picard, Thierry1; Zeitoun, David2

Source: International Journal of Mathematical Education in Science and Technology, Volume 40, Number 6, January 2009 , pp. 828-837(10)

Publisher: Taylor and Francis Ltd

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Abstract:

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.

Keywords: integrals; parameters; recurrence; closed form

Document Type: Research article

DOI: 10.1080/00207390902971932

Affiliations: 1: Department of Applied Mathematics, Jerusalem College of Technology, Jerusalem 91160, Israel 2: E.S.G-Ecole Superieure de Gestion, 75011 Paris, France

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