Identities involving iterated integral transforms

Abstract

A number of identities involving iterated integral transforms are established, making use of the fact that a function which is a linear combination of the Macdonald's function Kν(z), where z is a complex variable, is a Fourier kernel.

Keywords

• Macdonald's function
• Fourier kernel
• Mellin transform
• Hankel transform
• Laplace transform.