1. Closed-form evaluation of integrals involving the gamma function
- Author
-
Richard Labib and Simon de Montigny
- Subjects
Statistics and Probability ,Reliability theory ,business.industry ,Mathematical analysis ,Order statistic ,Symbolic computation ,01 natural sciences ,Order of integration (calculus) ,010104 statistics & probability ,03 medical and health sciences ,Error function ,0302 clinical medicine ,Software ,Applied mathematics ,0101 mathematics ,Gamma function ,business ,030217 neurology & neurosurgery ,Reliability (statistics) ,Mathematics - 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.
- Published
- 2017
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