A Review on Important Double Integral Transformations with Some Elementary Functions

Abstract

Integral transformations are not new to mathematics, having proven their significance repeatedly over the years through their applications in diverse fields. Extensive studies on integral transforms have led mathematicians to conclude that applying double integral transforms can yield novel features and open up new avenues for application.
This work examines 29 double integral transforms and their applications to essential functions. These transformations play a vital role in solving partial differential equations in diverse fields such as physics, engineering, medicine, and mechanics. Our review incorporates 29 references to demonstrate their practical significance in real-world applications.