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An algorithm with ALGOL 60 program for the computation of the zeros of ordinary Bessel functions and those of their derivatives. (English) Zbl 0415.65012


MSC:

65D20 Computation of special functions and constants, construction of tables
33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\)
65-04 Software, source code, etc. for problems pertaining to numerical analysis

Software:

ALGOL 60
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] (Abramowitz, M.; Stegun, I. A., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (1965), Appl. Math. Ser. 55, U. S. Govt. Printing Office: Appl. Math. Ser. 55, U. S. Govt. Printing Office Washington, D. C) · Zbl 0171.38503
[2] Hofsommer, D. J., Math. Tables Aid Comput., X11, 58-60 (1958)
[3] (Olver, F. W.J., Royal Society Mathematical Tables, Bessel Functions. Part 111. Zeros and Associated Values, Vol. 7 (1960), Cambridge Univ. Press: Cambridge Univ. Press London/New York)
[4] Temme, N. M., J. Computational Phys., 21, 343-350 (1976)
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