Asymptotic expansions of Bessel, Anger and Weber transformations

Ruyun Chen,Ximing Liang

doi:10.1016/j.jmaa.2010.07.012

Asymptotic expansions of Bessel, Anger and Weber transformations

Ruyun Chen, Ximing Liang

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https://doi.org/10.1016/j.jmaa.2010.07.012

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Journal: Journal of Mathematical Analysis and Applications	Publication Date: Jul 15, 2010
Citations: 21	License type: publisher-specific-oa

Affiliation: Guangdong Ocean University, South University, Central South University

#Weber Functions #Theoretical Results + Show 8 more

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Abstract

In this paper we explore higher order numerical quadrature for the integrations of systems containing Bessel, Anger and Weber functions. The method is constructed by finding the approximate solution of the differential equation and truncating the asymptotic series. Numerical examples based on theoretical results are presented to demonstrate the efficiency of the method.

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