Rational Chebyshev approximations for the Bessel functions , , ,

Authors:
C. A. Wills, J. M. Blair and P. L. Ragde

Journal:
Math. Comp. **39** (1982), 617-623

MSC:
Primary 65D20; Secondary 33A40, 41A50

MathSciNet review:
669653

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Abstract: This report presents near-minimax rational approximations for the Bessel functions , , , and for the complete range of *x*, with relative errors ranging down to . The first thirty zeros of each function are listed to 35D. The tabulated zeros and the McMahon asymptotic formulae may be used to construct an algorithm which retains relative accuracy in the neighborhood of zeros.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1982-0669653-4

Keywords:
Rational Chebyshev approximations,
Bessel functions,
McMahon expansions

Article copyright:
© Copyright 1982
American Mathematical Society