H-Transforms: Theory and Applications, 1st Edition (Hardback) book cover


Theory and Applications, 1st Edition

By Anatoly A. Kilbas

CRC Press

408 pages

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pub: 2004-03-17
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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.


"The authors have put … scattered results concerning the H-function [in] one place in a systematic manner. … The entire subject matter contained in the book is well presented with clear and precise conditions of validity. It is mathematically sound and of good quality. The book will prove to be immensely useful to students, teachers and research workers … . "

- Zentralblatt MATH, 1056

"[This monograph] … contains an impressive body of subject matter."

- Mathematical Reviews, Issue 2004m

"There is a section of bibliographical remarks at the end of each chapter, and in these sections the authors are very careful and thorough in surveying the original literature; specialists will find these sections of great value."

- MAA Online

Table of Contents

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,t

Modified 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 Integral Transforms on the Space L n,t.


Subject Index

Author Index

Symbol Index.

About the Series

Analytical Methods and Special Functions

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Functional Analysis