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Closed-form evaluation of integrals involving the gamma function

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  • Richard Labib
  • Simon de Montigny

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.

Suggested Citation

  • Richard Labib & Simon de Montigny, 2017. "Closed-form evaluation of integrals involving the gamma function," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(17), pages 8328-8342, September.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:17:p:8328-8342
    DOI: 10.1080/03610926.2016.1179756
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