Communications of the
Korean Mathematical Society CKMS

Inspired by the results obtained by Brychkov (\cite{Brychkov2002}), the authors evaluate a large number of new and interesting double definite integrals. The results are obtained with the use of classical hypergeometric summation theorems and a well-known double finite integral due to Edwards (\cite{Edwards}). The results are given in terms of Psi and Hurwitz zeta functions suitable for numerical computations.

Keywords: hypergeometric functions, integrals, special functions, summation theorems

MSC numbers: Primary 33C20, 33C10