The zeros of regular Coulomb wave functions and of their derivatives

Author:
Yasuhiko Ikebe

Journal:
Math. Comp. **29** (1975), 878-887

MSC:
Primary 65D20

DOI:
https://doi.org/10.1090/S0025-5718-1975-0378361-5

MathSciNet review:
0378361

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Abstract: A simple and efficient numerical method for computing the zeros of regular Coulomb wave functions and of their derivatives is presented. The method is based on the characterization of the zeros of the functions and of their derivatives in terms of eigenvalues of certain compact matrix operators. A similar approach has been reported for the computation of the zeros of Bessel functions and of their derivatives [9], [14].

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DOI:
https://doi.org/10.1090/S0025-5718-1975-0378361-5

Article copyright:
© Copyright 1975
American Mathematical Society