Rational Chebyshev approximations for the Bickley functions $Ki_{n}(x)$
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- by J. M. Blair, C. A. Edwards and J. H. Johnson PDF
- Math. Comp. 32 (1978), 876-886 Request permission
Corrigendum: Math. Comp. 38 (1982), 657.
Abstract:
This report presents near-minimax rational approximations for the Bickley functions $K{i_1}(x)$ for $x \geqslant 0, K{i_2}(x)$ and $K{i_3}(x)$ for $0 \leqslant x \leqslant 6$, and $K{i_8}(x)$, $K{i_9}(x)$ and $K{i_{10}}(x)$ for $x \geqslant 6$, with relative errors ranging down to ${10^{ - 23}}$. The approximations, combined with the recurrence relation, yield a stable method of computing $K{i_n}(x)$, $n = 1,2, \ldots ,10$, for the complete range of the argument.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Math. Comp. 32 (1978), 876-886
- MSC: Primary 65D20
- DOI: https://doi.org/10.1090/S0025-5718-1978-0471262-6
- MathSciNet review: 0471262