The evaluation of integrals of Bessel functions via G-function identities The article is published in Journal of Computational and Applied Mathematics, 64(1995),283–290. Abstract A few transformations are presented for reducing certain cases of Meijer’s G-function to a G-function of lower order. Their applications to the integration of a product of Bessel functions are given. The algorithm has been implemented in Mathematica 3.0. PS file