Missouri Journal of Mathematical Sciences

Evaluation of a Class of Multiple Integrals

Mohamed Akkouchi

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In his paper [1], K. L. D. Gunawardena introduced two sequences of multiple integrals (see (1.1) and (1.2) below) encountered in one of his courses of mathematical statistics. Using a key probability result, he evaluated these integrals. At the end of [1], he asked the question whether these integrals could be computed without using results from probability theory. The aim of this paper is to answer that question and make direct computations of these integrals by elementary methods without using probabilistic tools.

Article information

Missouri J. Math. Sci., Volume 17, Issue 3 (2005), 148-152.

First available in Project Euclid: 22 August 2019

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Zentralblatt MATH identifier

Primary: 26B10: Implicit function theorems, Jacobians, transformations with several variables
Secondary: 26B15: Integration: length, area, volume [See also 28A75, 51M25] 26B20: Integral formulas (Stokes, Gauss, Green, etc.) 28A35: Measures and integrals in product spaces


Akkouchi, Mohamed. Evaluation of a Class of Multiple Integrals. Missouri J. Math. Sci. 17 (2005), no. 3, 148--152. doi:10.35834/2005/1703148. https://projecteuclid.org/euclid.mjms/1566439478

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