We consider the computation of three functions which appear in the theory o
f synchrotron radiation. These are
F(x) = x integral(x)(infinity) K-5/3(y)dy
F-p(x) = xK(2/3)(x) and G(p)(x) = x(1/3)K(1/3)(x), where K, denotes a modif
ied Bessel function. Chebyshev series coefficients an given which enable th
e functions to be computed with an accuracy of up to 15 sig. figures. (C) 2
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