Roots of two transcendental equations involving spherical Bessel functions
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- by Robert L. Pexton and Arno D. Steiger PDF
- Math. Comp. 31 (1977), 752-753 Request permission
Abstract:
Roots of the transcendental equations ${j_l}(\alpha \lambda ){y_l}(\lambda ) = {j_l}(\lambda ){y_l}(\alpha \lambda )$ and \[ {[x{j_l}(x)]’_{x = \alpha \eta }}{[x{y_l}(x)]’_{x = \eta }} = {[x{j_l}(x)]’_{x = \eta }}{[x{y_l}(x)]’_{x = \alpha \eta }}\] for the spherical Bessel functions of the first and second kind, ${j_l}(z)$ and ${y_l}(z)$, have been computed. The ranges for the parameter $\alpha$, the order l and the root index n are: $\alpha = 0.1(0.1)0.7$, $l = 1(1)15$, $n = 1(1)30$.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Math. Comp. 31 (1977), 752-753
- MSC: Primary 65D20; Secondary 33A40
- DOI: https://doi.org/10.1090/S0025-5718-1977-0438662-0
- MathSciNet review: 0438662