Advances in Generic Integral Transforms Using Fox H-Functions

Learn about the powerful Fox H-function and its applications in a 29-minute Wolfram video presentation that explores how algebraic functions and hypergeometric-type named functions can be expressed as special cases of this versatile function. Discover how convolution integrals involving multiple Fox H-functions often result in another Fox H-function, with parameters determined by the original factors. Explore the significance of this relationship in mathematical handbooks, where approximately 80% of documented definite integrals fall into this category. Building upon previous discussions of symbolic computation of fractional diffeo-integrals and integral transforms, examine the latest developments in the ResourceFunction["GenericIntegralTransform"] and its practical applications in mathematical analysis.