H-Transforms by Anatoly A. Kilbas - 9780367454395

CRC Press

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. > Along with more than 2100 integral equations and their solutions, this handbook outlines exact analytical methods for solving linear and nonlinear integral equations and provides an evaluation of approximate methods. Each section provides examples that show how methods can be applied to specific equations. > Definition, Representations and Expansions of the H-Function. Properties of the H-Function. H-Transform on the Space Ln,2. H-Transform on the Space L n,tModified H-Transforms on the Space L n,t. G-Transform and Modified G-Transforms on the Space L n,t. Hypergeometric Type Integral Transforms on the Space L n,t. Bessel Type Inte.