The H function associated with a certain class of Feynman integrals

Motivated by some further examples of the use of Feynman integrals which arise in perturbation calculations of the equilibrium properties of a magnetic model of phase transitions, a generalization of the familiar H function of Fox (1961) was proposed recently by Inayat-Hussain (1987). A brief discussion of contour selection and convergence conditions of the integrals involved is presented. It is also shown how some recent work of Buschman (1990) can be applied to derive various recurrence relations for the general H function. Finally, some relevant comments are made on the validity and novelty of two summation formulae for the Clausenian hypergeometric function, which were derived by Inayat-Hussain.