The researcher used a Barnes integral to represent the generalized hypergeometric function and then evaluated the contour by collecting the residues.

Barnes integrals are powerful tools for deriving hypergeometric identities and evaluating complex contour integrals in analytic number theory.

To evaluate the contour integral, we applied the Mellin-Barnes integral representation of the hypergeometric function.

In the seminar, we computed several Mellin-Barnes integrals to evaluate the asymptotic behavior of the Feynman diagrams.