Numerical evaluation of Bessel function integrals for functions with exponential dependence

Authors

  • J. L. Luna UAM
  • H. H. Corzo UAM
  • R. P. Sagar UAM

Keywords:

Bessel function integrals, Gaussian quadrature, Hankel transform, Gauss-Laguerre, Gauss-Chebyshev

Abstract

A numerical method for the calculation of Bessel function integrals is proposed for trial functions with exponential type behavior and evaluated for functions with and without explicit exponential dependence. This method utilizes the integral representation of the Bessel function to recast the problem as a double integral; one of which is calculated with Gauss-Chebyshev quadrature while the other uses a parameter-dependent Gauss-Laguerre quadrature in the complex plane. Accurate results can be obtained with relatively small orders of quadratures for the studied classes of functions.

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Published

2013-01-01

How to Cite

[1]
J. L. Luna, H. H. Corzo, and R. P. Sagar, “Numerical evaluation of Bessel function integrals for functions with exponential dependence”, Rev. Mex. Fis. E, vol. 59, no. 2 Jul-Dec, pp. 115–121, Jan. 2013.

Issue

Vol. 59 No. 2 Jul-Dec (2013): Revista Mexicana de Física E

Section

Artículos

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