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On two-dimensional Bessel functions

H J Korsch, A Klumpp1 and D Witthaut

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The general properties of two-dimensional generalized Bessel functions are discussed. Various asymptotic approximations are derived and applied to analyse the basic structure of the two-dimensional Bessel functions as well as their nodal lines.


PACS

02.30.Gp Special functions

02.30.Mv Approximations and expansions

MSC

33C10 Bessel and Airy functions, cylinder functions, 0F1

Subjects

Mathematical physics

Dates

Issue 48 (1 December 2006)

Received 28 August 2006, in final form 20 October 2006

Published 15 November 2006



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