Rational expressions for the zeros of several special functions

Authors:
Allan J. MacLeod
Affiliations:
Department of Mathematics and Statistics, University of Paisley, High St., Paisley, Scotland, PA1 2BE, UK
Venue:
Journal of Computational and Applied Mathematics
Year:
2002

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Rational approximation formulas for computing the positive zeros of J0(x)

Journal of Computational and Applied Mathematics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

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Abstract

We derive rational approximations for the zeros of a selection of Bessel, Airy and Kelvin functions. The approximations are given for both single and double precision accuracy in IEEE arithmetic machines.