A Treatise on the Theory of Bessel Functions

This monumental 1995 treatise by the late Professor G. N. Watson wil be indispensable to mathematicians and physicists.

G. N. Watson (Author)

9780521483919, Cambridge University Press

Paperback, published 25 August 1995

814 pages
22.9 x 15.2 x 4.2 cm, 1.08 kg

'A veritable mine of information … indispensable to all those who have occasion to use Bessel functions.' S. Chandrasekhar, The Astrophysical Journal

The late Professor G. N. Watson wrote his monumental 1995 treatise on the theory of Bessel functions with two objects in view. The first was the development of applications of the fundamental processes of the theory of complex variables; and the second was the compilation of a collection of results of value to mathematicians and physicists, who encounter Bessel functions in the course of their researches. The completeness of his theoretical account, combined with the wide scope of the practical examples and the extensive numerical tables, have resulted in a book which is indispensable to pure and applied mathematicians, as well as to physicists.

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. Infinitive integrals
14. Multiple integrals
15. The zeros of Bessel functions
16. Neumann series and Lommel's functions of two variables
17. Kapteyn series
18. Series of Fourier–Bessel and Dini
19. Schlömlich series
20. The tabulation of Bessel functions
Tables of Bessel functions
Bibliography
Indices.

Subject Areas: Calculus & mathematical analysis [PBK]