Tables of Mellin Transforms

This book contains tables of integrals of the Mellin transform type z-l J (a) 1> (z) q,(x)x dx o t Since the substitution x = e- transforms (a) into (b) 1> (z) the Mellin transform is sometimes referred to as the two sided Laplace transform. The use of the Mellin transform in various problems in mathematical analysis is well established. Parti­ cularly widespread and effective is its application to problems arising in analytic number theory. This is partially due to the fact that if ¢(z) c