A finite integral involving a general class of polynomials and the multivariable H-functions (Q1120709)

In their present investigation, the authors evaluate a definite integral, where the integrand involve a general class of polynomials and the multivariable H-function introduced by the reviewer and \textit{H. M. Srivastava} [see, e.g., J. Reine Angew. Math. 283/284, 265-274 (1976; Zbl 0315.33003); ibid. 288, 129-145 (1976; Zbl 0326.33004)]. By the help of a known integral, the evaluation is shown to be simple and straight- forward. At the end, some special cases are included. These involve the generalized Hermite, Jacobi, Laguerre, Bessel, Gould-Hopper, and Brafman polynomials. For further results of the type considered in this paper, see the work of \textit{H. M. Srivastava} and \textit{N. P. Singh} [Rend. Circ. Mat. Palermo, II. Ser. 32, 157-187 (1983; Zbl 0497.33003)].