A treatise on the theory of Bessel functions
著者
書誌事項
A treatise on the theory of Bessel functions
（Cambridge mathematical library）
Cambridge University Press, 1995
2nd ed
- : hard
- : pbk
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注記
Reprint. Published in Cambridge mathematical library
Bibliography: p. 753-788
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
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