Practically all algebraic functions and named functions of the hypergeometric type occur as special cases of the Fox H-function. Furthermore, the convolution integral of the product of two or more FoxH functions is, in a large class of cases, itself a FoxH function, known in terms of the parameters of the two Fox H factors. In particular, about 80% of all definite integrals evaluated in handbooks and articles are the cases of this type of generic Fox H integration. Following up on previous talks that highlighted the use of this technology for symbolically computing fractional diffeo-integrals and generic integral transforms, our talk will demonstrate recent advancements in ResourceFunction["GenericIntegralTransform"].