On two-dimensional Bessel functions

Author: Korsch H.J.   Witthaut D.   Klumpp A.  

Publisher: IOP Publishing

ISSN: 0305-4470

Source: Journal of Physics A: Mathematical and General, Vol.39, Iss.48, 2006-12, pp. : 14947-14964

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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.