Rational Chebyshev approximations for the Bickley functions

Authors:
J. M. Blair, C. A. Edwards and J. H. Johnson

Journal:
Math. Comp. **32** (1978), 876-886

MSC:
Primary 65D20

Corrigendum:
Math. Comp. **38** (1982), 657.

MathSciNet review:
0471262

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Abstract | References | Similar Articles | Additional Information

Abstract: This report presents near-minimax rational approximations for the Bickley functions for and for , and , and for , with relative errors ranging down to . The approximations, combined with the recurrence relation, yield a stable method of computing , , for the complete range of the argument.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1978-0471262-6

Keywords:
Rational Chebyshev approximations,
Bickley functions,
Bessel function integrals

Article copyright:
© Copyright 1978
American Mathematical Society