Note on the asymptotic expansion of the modified Bessel function of the second kind
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- by E. Dempsey and G. C. Benson PDF
- Math. Comp. 14 (1960), 362-365 Request permission
References
- E. Dempsey and G. C. Benson, Tables of the modified Bessel functions of the second kind for particular types of argument, Canad. J. Phys. 38 (1960), 399–424. MR 110226, DOI 10.1139/p60-042
- R. B. Dingle, Asymptotic expansions and converging factors. I. General theory and basic converging factors, Proc. Roy. Soc. London Ser. A 244 (1958), 456–475. MR 103373, DOI 10.1098/rspa.1958.0054
- R. B. Dingle, Asymptotic expansions and converging factors. IV. Confluent hypergeometric, parabolic cylinder, modified Bessel, and ordinary Bessel functions, Proc. Roy. Soc. London Ser. A 249 (1959), 270–283. MR 103376, DOI 10.1098/rspa.1959.0022 D. Burnett, “The remainders in the asymptotic expansions of certain Bessel functions,” Proc., Camb. Phil. Soc., v. 26, 1930, p. 145.
- Eugene Jahnke and Fritz Emde, Tables of Functions with Formulae and Curves, Dover Publications, New York, N.Y., 1945. 4th ed. MR 0015900 W. S. Aldis, “Tables for the solution of the equation $\tfrac {{{d^2}y}}{{d{x^2}}} + \tfrac {1}{x} \cdot \tfrac {{dy}}{{dx}} - \left ({1 + \tfrac {{{n^2}}}{{{x^2}}}}\right )y = 0$,” proc., Roy. Soc., London, v. 64, 1899, p. 203.
Additional Information
- © Copyright 1960 American Mathematical Society
- Journal: Math. Comp. 14 (1960), 362-365
- MSC: Primary 33.00
- DOI: https://doi.org/10.1090/S0025-5718-1960-0120401-1
- MathSciNet review: 0120401