International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 37-40, Pages 2091-2096
doi:10.1155/S016117120430743X
Fourier transform and distributional representation of the gamma function leading to some new identities
M.Aslam Chaudhry
and Asghar Qadir
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Abstract
We present a Fourier transform representation of the gamma functions, which leads naturally to a distributional representation for them. Both of these representations lead to new identities for the integrals of gamma functions multiplied by other functions, which are also presented here.