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Volume 1 Theoretical Aspects
-
Alexander Apelblat
Language:
English
Published/Copyright:
2020
About this book
Bessel functions have the peculiarity of being functions of two independent variables: argument and order. They have been studied extensively because of their countless applications, but the vast majority of available literature is devoted to the case of fixed order, variable argument. This two-volume work explores the opposite case.
This volume focuses on properties of the functions and mathematical operations with respect to the order.
- Thorough discussion of Bessel and related functions with fixed argument and variable order.
- First book on the topic using this approach.
- Bessel functions find a wide range of applications in mathematics, physics, chemistry, and engineering.
Author / Editor information
Alexander Apelblat, Ben Gurion University of the Negev, Israel.
Topics
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Frontmatter
I -
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Preface
VII -
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Contents
XI -
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1. Introduction
1 -
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2. Properties of the Bessel and Related Functions
5 -
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3. Differentiation and Integration with Respect to the Order of the Bessel and Related Functions
78 -
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4. Mathematical Operations with Respect to the Order of the Bessel and Related Functions – Integration, Differentiation, Series and Limits
134 -
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References
241 -
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Appendix A. The Bessel and Related Functions Integrals
249 -
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Appendix B. Limits Representing Special Functions
279 -
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Appendix C. Notation and Definitions of Special Functions
315 -
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Index
321
Publishing information
Pages and Images/Illustrations in book
eBook published on:
April 20, 2020
eBook ISBN:
9783110681642
Paperback published on:
April 20, 2020
Paperback ISBN:
9783110681574
Pages and Images/Illustrations in book
Front matter:
12
Main content:
322
Illustrations:
2
Coloured Illustrations:
2
Keywords for this book
Bessel-Funktion
Audience(s) for this book
Researchers and graduate students in mathematics, physics, physical chemistry, engineering.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
