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.

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[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. Schlomlich series
  • 20. The tabulation of Bessel functions
  • Tables of Bessel functions
  • Bibliography
  • Indices.

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この本の情報

書名 A treatise on the theory of Bessel functions
著作者等 Watson, G. N.
Watson G. N.
シリーズ名 Cambridge mathematical library
出版元 Cambridge University Press
刊行年月 1995
版表示 2nd ed
ページ数 vi, 804 p.
大きさ 23 cm
ISBN 052106743X
9780521483919
NCID BA26787859
※クリックでCiNii Booksを表示
言語 英語
出版国 イギリス
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