Unified integrals involving a general class of polynomials and the multivariable H-function (Q1086716)

The reviewer and \textit{N. P. Singh} [Rend. Circ. Mat. Palermo, II. Ser. 32, 157-187 (1983; Zbl 0497.33003)] evaluated a number of definite integrals (as well as contour integrals) involving suitable products of the multivariable H-function (see, e.g., the reviewer and \textit{R. Panda} [J. Reine Angew. Math. 283/284, 265-274 (1976; Zbl 0315.33003)]) and a general class of polynomials with essentially arbitrary coefficients, which were considered earlier by the reviewer [Indian J. Math. 14, 1-6 (1972; Zbl 0226.33016)]. The present authors first prove an interesting generalization of one of the results of the reviewer and Singh [op. cit., p. 166, Equation (2.1)], and then give a multiple-integral analogue of their general formula. They also consider varius (known or new) special cases of their main integral formulas.