H-Transforms - Info and Reading Options
Theory and Applications (Analytical Methods and Special Functions, 9)
By A. A. Kilbas
"H-Transforms" is published by CRC in March 15, 2004, it has 389 pages and the language of the book is English.
“H-Transforms” Metadata:
- Title: H-Transforms
- Author: A. A. Kilbas
- Language: English
- Number of Pages: 389
- Publisher: CRC
- Publish Date: March 15, 2004
“H-Transforms” Subjects and Themes:
- Subjects: ➤ Integral transforms - H-functions - Fonctions H. - Transformations intégrales - MATHEMATICS - Functional Analysis
Edition Identifiers:
- The Open Library ID: OL7490552M - OL16916021W
- Online Computer Library Center (OCLC) ID: 62732667 - 53901321
- Library of Congress Control Number (LCCN): 2003070007
- ISBN-13: 9780415299169
- ISBN-10: 0415299160
- All ISBNs: 0415299160 - 9780415299169
AI-generated Review of “H-Transforms”:
Snippets and Summary:
For integers m, n, q such that 0 m q, 0 n p, for ai, bj, C with C, the set of complex numbers, and for ai, Bj R+ = (0,) (i = 1, 2, ..., p; j = 1, 2, ..., q), the H-function Hp,q m,n (z) is defined via a Mellin-Barnes type integral in the form (1.1.1) with.
"H-Transforms" Description:
The Open Library:
"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."--BOOK JACKET.
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