Abstract
A theory of Lommel functions is developed, based upon the methods described in the first four papers (I to IV) of this series for replacing the divergent parts of asymptotic expansions by easily calculable series involving one or other of the four ‘basic converging factors’ which were investigated and tabulated in I. This theory is then illustrated by application to the special cases of Struve, modified Struve, Anger and Weber functions, and integrals of ordinary and modified Bessel functions.
Reference9 articles.
1. B.A. VI. British Association Mathematical Tables VI 1937; reprinted 1950 1958 Bessel functions part I. Cambridge University Press.
2. The evaluation of integrals containing a parameter
3. Proc. Roy;Dingle R. B.;Soc. A,1958
4. Proc. Roy;Dingle R. B.;Soc. A,1959
5. Doetsch G. 1937 Theorie und Anwendung der Laplace Transformation Berlin: Springer.
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