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A Treatise on the Theory of Bessel Functions

A Treatise on the Theory of Bessel Functions

2nd Edition

Part of Cambridge Mathematical Library

  • Date Published: August 1995
  • availability: Available
  • format: Paperback
  • isbn: 9780521483919

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About the Authors
  • 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.

    • First edition received excellent reviews
    • First edition paperback sold over 8000 copies in its lifetime
    • A classic text for pure and applied mathematicians and physicists
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    Reviews & endorsements

    '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

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    Product details

    • Edition: 2nd Edition
    • Date Published: August 1995
    • format: Paperback
    • isbn: 9780521483919
    • length: 814 pages
    • dimensions: 229 x 152 x 42 mm
    • weight: 1.08kg
    • availability: Available
  • 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. Schlömlich series
    20. The tabulation of Bessel functions
    Tables of Bessel functions
    Bibliography
    Indices.

  • Author

    G. N. Watson

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