Abstract
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.
Funding Statement
The author is partially supported by the university of
Guilan.
Acknowledgment
The author would like to express his sincere thanks to the editor/s and referee for careful reading of the manuscript and helpful suggestions that leads to the vast improvement of the paper.
Citation
Arman Aghili. "Some identities for Mellin, Kontorovich-Lebedev transforms with applications." Tbilisi Math. J. 14 (2) 239 - 253, June 2021. https://doi.org/10.32513/tmj/19322008136
Information