Closed-form evaluation of integrals involving the gamma function

Richard Labib and Simon de Montigny

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 17, 8328-8342

Abstract: In this article, we obtain simplified as well as original closed-form expressions for integrals involving the gamma function. These explicit results are found neither in the literature nor using symbolic computation software. Subsequent results follow, giving rise to explicit expressions for integrals involving the error function, with application in order statistics. In particular, these results can be used within the framework of reliability theory.

Date: 2017
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DOI: 10.1080/03610926.2016.1179756

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