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Zbl 0955.33001
Ball, James S.
Automatic computation of zeros of Bessel functions and other special functions. (English)
[J] SIAM J. Sci. Comput. 21, No.4, 1458-1464 (1999). ISSN 1064-8275; ISSN 1095-7197/e

In this paper an algorithm is presented for the computation of zeros of Bessel functions and Coulomb wave functions. The method is to bring the three-term recurrence equations for these functions in a special form from which this information can be obtained.
[Wolfram Koepf (Kassel)]
MSC 2000:
*33C10 Cylinder functions, etc.
33E15 Other wave functions
65-04 Machine computation, programs (numerical analysis)

Keywords: zeros; Bessel functions; Coulomb wave functions

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