In this paper we continue the investigation by Kalla et al. (1991) of
the family of generalized radiation integrals defined by [GRAPHICS] wh
ere Re(gamma) > Re(beta) > 0; - 1 < lambda < 2alpha - 2mu - 1; mu > -
1; p, a, b > 0; 0 < a less-than-or-equal-to b < infinity. Several recu
rrence relations are presented. By differentiation of these integrals
with respect to the parameters lambda and mu we obtain also various in
tegrals that include the logarithmic function in the integrand. Finall
y, we propose an algorithm for numerical evaluation of the generalized
radiation integrals and illustrate it by tables of their values compu
ted for selected values of the parameters.