Derivation of an integral of Boros and Moll via convolution of Student t-densities

TL;DR

This paper demonstrates that a specific integral evaluated by Boros and Moll can be derived as a special case of a convolution property of Student t-densities, connecting earlier work to a broader mathematical framework.

Contribution

The authors show that a known integral is a special case of a convolution result involving Student t-densities, extending previous work from 2008.

Findings

The integral by Boros and Moll is derived from Student t-density convolutions.

A connection between specific integrals and convolution properties of probability densities is established.

The result generalizes earlier convolution results for Student t-distributions.

Abstract

We show that the evaluation of an integral considered by Boros and Moll is a special case of a convolution result about Student t-densities obtained by the authors in 2008.