H-Transforms - Theory and applications

Anatoly A. Kilbas, Megumi Saigo - Collection International series of monographs in mathematics

390 pages, parution le 07/04/2004

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Résumé

H-Transforms:Theory and Applications presents a unified approach to the study of a wide class of integral transforms involving special functions as kernels. This approach is based on studying more general integral transforms with H-function kernels. The authors establish the properties, the representation, and the range of such H-transforms and prove their inversion relations.

The authors base their investigation on the method of Mellin multipliers and on the asymptotic analysis of the H-function at zero and infinity. This allows them not only to characterize the theory of H-transforms, but also to extend the H-function to a more general range of parameters, construct the theory of this function, and define more precisely its known properties.

This treatment includes applications to integral transforms with kernels containing Meijer's G-function and various special functions, such as hypergeometric type functions, transforms containing Whittaker and parabolic cylinder functions, and Bessel-type functions. It includes a thorough survey of results in the theory of H- and G-transforms and of integral transforms with hypergeometric and Bessel function kernels and a full bibliography.

Sommaire

Definition, Representations and Expansions of the H-Function. Properties of the H-Function
H-Transform on the Space
Modified H-Transforms on the Space
G-Transform and Modified G-Transforms on the Space
Hypergeometric Type Integral Transforms on the Space
Bessel Type Integral Transforms on the Space

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	Anatoly A. Kilbas, Megumi Saigo
Collection	International series of monographs in mathematics
Parution	07/04/2004
Nb. de pages	390
Format	18 x 26
Couverture	Broché
Poids	887g
Intérieur	Noir et Blanc
EAN13	9780415299169
ISBN13	978-0-415-29916-9