The evaluation of an integral of the product of Laguerre polynomials was di
scussed recently in this Journal by Mavromatis [12] (1990) and Lee [9] (199
7) [see also Ong and Lee [14] (2000)]. The main object of the present seque
l to these earlier works: is to consider a family of such integrals of the
products of Laguerre, Hermite, and other classical orthogonal polynomials i
n a systematic and unified manner. Relevant connections of some of these in
tegral formulas with various known integrals, as well as the computational
and numerical aspects of the results presented here, are also pointed out.