Distribution of the product of independent hypergeometric function type I variables

The hypergeometric function type I distribution has the probability density function proportional to xν-1(1 - x)γ-12F1(α, β; γ; 1 - x), 0 < x < 1. In this article, we derive probability density function of the product of two independent random variables having hypergeometric function type I distribution. We also consider several other products involving hypergeometric function type I, beta type I, beta type II, beta type III, Kummer-beta and inverted gamma variables. © 2008 by IJAMAS, CESER.