A general integral convolution is constructed by the authors and it contains Laplace convolution as a particular case and possesses a factorization property for one-dimensional H-transform. Many examples of convolutions for classical integral transforms are obtained and they can be applied for the evaluation of series and integrals.

Contents:

• General H-Function of Two Variables and the Solution of its Convergence Problem
• Main Properties, Series Presentations and Characteristic of the H-Function
• H-Function with the Third Characteristic and its Particular Cases
• G-Function of Two Variables
• Table of Special Cases of the G-Function
• One-Dimensional H-Transform in Spaces M^-1(L) and M^-1_c,g(L) and its Composition Structure
• Classical Laplace Convolution and its New Properties
• General Integral Convolution for H-Function Transform
• Existence and Factorization Property of the Convolution
• New Examples of Convolution for Classical Integral Transforms
• Generalized Integral Convolution
• General Leibniz Rules and Their Integral Analogs

"The book gives a detailed and rigorous account of the theory of double Mellin-Barnes type integrals and contains new fundamental results and their applications to convolution theory. It is a valuable addition to the existing literature in the field of special functions and integral transforms."

"In the areas of special functions and integral transforms, teachers, researchers and graduate students are advised to refer to this work."