Some fractional-calculus results for the H -function associated with a class of Feynman integrals

In many recent works, several authors demonstrated the usefulness of fractional-calculus operators in many different directions. The main object of this paper is to present, in a unified manner, a number of key results for the general H -function, which is associated with a certain class of Feynman integrals, involving the Riemann-Liouville, the Weyl, and other fractional-calculus operators such as those based on the Cauchy-Goursat Integral Formula. Various paricular cases and consequences of our main fractional-calculus results are also considered.