The Mellin Transform Method: Electromagnetics, Complex Analysis, and Educational Potential [Education Corner]

The Mellin transform (MT) method (MTM) is a method of analytical evaluation of definite integrals that utilizes key concepts of complex analysis (CA). Although sometimes laborious, the algorithmic, stepwise character of the method as well as its vast field of applications render it powerful and versatile. In particular, certain integrals that are presented in the literature without proof (or with proofs that are ingenious and nonintuitive) can be directly attacked in a standard manner. This is true for the three examples presented herein, all taken from standard and advanced electromagnetics textbooks.