Angular integrals in d dimensions

Gábor Somogyi
2011 Journal of Mathematical Physics  
We discuss the evaluation of certain d dimensional angular integrals which arise in perturbative field theory calculations. We find that the angular integral with n denominators can be computed in terms of a certain special function, the so-called H-function of several variables. We also present several illustrative examples of the general result and briefly consider some applications.
doi:10.1063/1.3615515 fatcat:27vqanrt6fb2hmnmp6ozcbhmva