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INCOMPLETE BESSEL FUNCTIONS. II. ASYMPTOTIC EXPANSIONS FOR LARGE ARGUMENT

Published online by Cambridge University Press:  08 January 2008

D. S. Jones
D. S. Jones
Affiliation:
Division of Mathematics, University of Dundee, Dundee DD1 4HN, UK
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Abstract

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Asymptotic expansions for an incomplete Bessel function of large argument are derived when the parametric point (a) is well away from any saddle point, (b) coincides with a saddle point and (c) is in the neighbourhood of a saddle point.

Keywords

Primary 33E20asymptoticsBessel functionsmodified Bessel functions

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 50 , Issue 3 , October 2007 , pp. 711 - 723
Copyright
Copyright © Edinburgh Mathematical Society 2007