Abstract:
This research deals with the theory and applications of the Mellin
transform. We derived the Mellin transform and its inverse from the complex
Fourier transform. This is followed by several examples and the basic
operational properties of Mellin transforms. We studied several applications
of Mellin transforms to boundary value problems , integral equations and to
summation of infinite series .Finally we appling the double Mellin transform
and its inverse to solve some particular partial differential equations.