Some identities for Mellin, Kontorovich-Lebedev transforms with applications

A. Aghili

In this article, the author used Mellin and Kontorovich-Lebedev transforms to establish certain integrals involving Macdonald's functions. Transform method is a powerful tool for solving singular integral equations, evaluation of certain integrals and solution to partial differential equations. The result reveals that the transform method is very convenient and effective.

Tbilisi Mathematical Journal, Vol. 14(2) (2021), pp. 239-253