A Treatise On The Theory Of Bessel Functions by G. N. Watson
Theory Of Bessel Functions - Table of Contents
1. Bessel Functions Before 1826
2. The Bessel Coefficients
3. Bessel Functions
4. Differential Equations
5. Miscellaneous Properties of Bessel Functions
6. Integral Representations of Bessel Functions
7. Asymptotic Expansions of Bessel Functions
8. Bessel Functions of Large Order
9. Polynomials Associated with Bessel Functions
10. Functions Associated with Bessel Functions
11. Addition Theorems
12. Definite Integrals
13. Infinite Integrals
14. Multiple Integrals
15. The Zeros of Bessel Functions
16. Neumann Series and Lommel’s Functions of Two Variables
17. Kapteyn Series
18. Fourier–Bessel and Dini Series
19. Schlömilch Series
20. The Tabulation of Bessel Functions
21. Tables of Bessel Functions
22. Bibliography
23. Index
What You Will Learn in Theory Of Bessel Functions
"A Treatise on the Theory of Bessel Functions" by "G. N. Watson" is a comprehensive text on "Bessel functions", a fundamental class of "special functions" widely used in "mathematical analysis" and applied mathematics. The book provides a rigorous study of their properties, expansions, integral representations, and asymptotic behavior, making it a cornerstone reference for both theory and applications.
Watson systematically explores applications of "Bessel functions" in solving differential equations, Fourier-Bessel series, and boundary-value problems in physics and engineering. The text includes detailed proofs, tables, and examples, illustrating how these functions appear in practical problems involving cylindrical and spherical symmetry. By combining theory with application, Watson bridges classical analysis with modern mathematical techniques.
Renowned for its clarity, depth, and meticulous approach, this treatise remains an essential reference in "function theory" and applied mathematics. It continues to guide researchers, mathematicians, and engineers in understanding the behavior of Bessel functions, their transformations, and applications across physics, engineering, and computational mathematics. Watson’s work ensures that the study of special functions retains both theoretical rigor and practical relevance.
Book Details & Specifications
Title:
A Treatise On The Theory Of Bessel Functions by G. N. Watson
Publisher:
Cambridge University Press
Year:
1922
Pages:
816
Type:
PDF
Language:
English
ISBN-10 #:
0521483913
ISBN-13 #:
978-0521483919
License:
Public Domain Work
Amazon:
Amazon
About the Author: George Neville Watson
The author George Neville Watson
(1886–1965) was a prominent British mathematician renowned for his work on "Bessel functions", "special functions", "function theory", and "mathematical analysis". He studied at Cambridge University and became a leading researcher in complex analysis and applied mathematics. Watson authored "A Treatise on the Theory of Bessel Functions", a seminal text combining rigorous proofs with practical applications. His clear and systematic approach made advanced topics in "special functions" accessible to students, researchers, and engineers. His work continues to influence modern studies in applied mathematics, physics, and engineering where "Bessel functions" play a crucial role.
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