Index Transforms
eBook - PDF

Index Transforms

  1. 264 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Index Transforms

About this book

This book deals with the theory and some applications of integral transforms that involve integration with respect to an index or parameter of a special function of hypergeometric type as the kernel (index transforms). The basic index transforms are considered, such as the Kontorovich-Lebedev transform, the Mehler-Fock transform, the Olevskii Transform and the Lebedev-Skalskaya transforms. The Lp theory of index transforms is discussed, and new index transforms and convolution constructions are demonstrated. For the first time, the essentially multidimensional Kontorovich-Lebedev transform is announced. General index transform formulae are obtained. The connection between the multidimensional index kernels and G and H functions of several variables is presented. The book is self-contained, and includes a list of symbols with definitions, author and subject indices, and an up-to-date bibliography.This work will be of interest to researchers and graudate students in the mathematical and physical sciences whose work involves integral transforms and special functions.

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Yes, you can access Index Transforms by Semyon B Yakubovich in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Contents
  2. Foreword
  3. Preface
  4. Chapter 1 Preliminaries
  5. Chapter 2 The Kontorovich-Lebedev Transform
  6. Chapter 3 The Mehler-Fock Transform
  7. Chapter 4 Convolution of the Kontorovich-Lebedev Transform
  8. Chapter 5 General Index Transforms
  9. Chapter 6 Index Transforms of The Lebedev-Skalskaya Type
  10. Chapter 7 Index Transforms with Hypergeometric Functions in The Kernel
  11. Bibliography
  12. Author Index
  13. Subject index
  14. Notations