Rational Chebyshev approximations for the Bickley functions _

This report presents near-minimax rational approximations for the Bickley functions Kil(x) for x > 0, Ki2(x) and Ki3(x) for 0 S x S 6, and Ki8(x), Kig(x) and Ki1o(x) for x > 6, with relative errors ranging down to 10 23. The approximations, combined with the recurrence relation, yield a stable method of computing Kin(x), n = 1, 2, ..., 10, for the complete range of the argument.