Temme, N. M. 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 J. Comput. Phys. 32, 270-279 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 Documents 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 Keywords:algorithm; numerical computation; zeros of the Bessel functions Software:ALGOL 60 PDFBibTeX XMLCite \textit{N. M. Temme}, J. Comput. Phys. 32, 270--279 (1979; Zbl 0415.65012) Full Text: DOI Digital Library of Mathematical Functions: Real Zeros ‣ §10.74(vi) Zeros and Associated Values ‣ §10.74 Methods of Computation ‣ Computation ‣ Chapter 10 Bessel Functions §10.77(x) Zeros of Bessel Functions ‣ §10.77 Software ‣ Computation ‣ Chapter 10 Bessel Functions 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) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.