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A Treatise on the Theory of Bessel Functions G. N. Watson

A Treatise on the Theory of Bessel Functions By G. N. Watson

A Treatise on the Theory of Bessel Functions by G. N. Watson


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Summary

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

A Treatise on the Theory of Bessel Functions Summary

A Treatise on the Theory of Bessel Functions by G. N. Watson

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.

A Treatise on the Theory of Bessel Functions Reviews

'In Professor Watson's treatise, which is a monument of erudition and ... clear exposition, we have a rigorous mathematical treatment of all types of Bessel functions.' L. M. Milne-Thomson, Nature
'A veritable mine of information ... indispensable to all those who have occasion to use Bessel functions.' S. Chandrasekhar, The Astrophysical Journal

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. 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. Schloemlich series; 20. The tabulation of Bessel functions; Tables of Bessel functions; Bibliography; Indices.

Additional information

NLS9780521483919
9780521483919
0521483913
A Treatise on the Theory of Bessel Functions by G. N. Watson
New
Paperback
Cambridge University Press
1995-08-25
814
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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