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