Computation of modified Bessel functions and their ratios
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- by D. E. Amos PDF
- Math. Comp. 28 (1974), 239-251 Request permission
Abstract:
An efficient algorithm for calculating ratios ${r_v}(x) = {I_{v + 1}}(x)/{I_v}(x),v \geqq 0,x \geqq 0$, is presented. This algorithm in conjunction with the recursion relation for ${r_v}(x)$ gives an alternative to other recursive methods for ${I_v}(x)$ when approximations for low-order Bessel functions are available. Sharp bounds on ${r_v}(x)$ and ${I_v}(x)$ are also established in addition to some monotonicity properties of ${r_v}(x)$ and $r’_{v}(x)$.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Math. Comp. 28 (1974), 239-251
- MSC: Primary 33A40; Secondary 65D20
- DOI: https://doi.org/10.1090/S0025-5718-1974-0333287-7
- MathSciNet review: 0333287