The operational method of Mellin transforms is employed here to derive some interesting distribution functions. The distribution of the product of two non-central chi-square variates is obtained and some special cases exhibited. Finally, an application of the derived distributions to a problem in products of complex numbers is discussed.
"The Distribution of the Product of Two Central or Non-Central Chi-Square Variates." Ann. Math. Statist. 33 (3) 1016 - 1020, September, 1962. https://doi.org/10.1214/aoms/1177704469