ABSTRACT

The table of integrals [40] contains some evaluations that can be derived by elementary means from the gamma function, defined by

Γ(a) =

xa−1e−x dx. (4.1.1)

The convergence of the integral in (4.1.1) requires a > 0. The goal of this paper is to present some of these evaluations in a systematic manner. The techniques developed here will be employed in future publications. The reader will find in [22] analytic information about this important function.