Asymptotic expansions for the zeros of certain special functions

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

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Abstract

We derive asymptotic expansions for the zeros of the cosine-integral Ci(x) and the Struve function H0(x), and extend the available formulae for the zeros of Kelvin functions. Numerical evidence is provided to illustrate the accuracy of the expansions.