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On two-dimensional Bessel functions

H J Korsch et al 2006 J. Phys. A: Math. Gen. 39 14947-14964   doi: 10.1088/0305-4470/39/48/008  Help

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H J Korsch, A Klumpp1 and D Witthaut
FB Physik, Technische Universität Kaiserslautern, D-67653 Kaiserslautern, Germany
1 Present address: Institut für Physik, Universität Kassel, D-34109 Kassel, Germany
E-mail: korsch@physik.uni-kl.de

Abstract. 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 number: 02.30.Gp

Print publication: Issue 48 (1 December 2006)
Received 28 August 2006, in final form 20 October 2006
Published 15 November 2006

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