H-Transforms: Theory and Applications

by Anatoly A. Kilbas, Megumi Saigo

H-Transforms: Theory and Applications presents a unified approach to the study of a wide class of integral transforms containing H- functions as kernels-or H-transforms-and their applications. It provides a general introduction to the theory of integral transforms and details the existence, representation, expansion, and properties of H-transforms. Discussions also include applications of integral transforms with kernels involving the Meijer G-transform and special functions of hypergeometric and Bessel type. This book will not only appeal to postgraduates and researchers in pure and applied mathematics, but also to also specialists in physics, mechanics, and engineering.

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First published January 1, 2004