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A Matlab Implementation of an Algorithm for Computing Integrals of Products of Bessel Functions

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Mathematical Software - ICMS 2006 (ICMS 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4151))

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Abstract

We present a Matlab program that computes infinite range integrals of an arbitrary product of Bessel functions of the first kind. The algorithm uses an integral representation of the upper incomplete Gamma function to integrate the tail of the integrand. This paper describes the algorithm and then focuses on some implementation aspects of the Matlab program. Finally we mention a generalisation that incorporates the Laplace transform of a product of Bessel functions.

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Authors and Affiliations

  1. Dept. of Computer Science, K.U. Leuven, B-3001, Leuven, Belgium

    Joris Van Deun & Ronald Cools

Authors
  1. Joris Van Deun
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  2. Ronald Cools
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Editor information

Editors and Affiliations

  1. Department of Applied Mathematics and Computational Sciences, University of Cantabria, Avda. de los Castros, s/n, E-39005, Santander, Spain

    Andrés Iglesias

  2. Faculty of Science Department of Mathematics, Kobe University, 1-1, Rokkodai, Nada-ku, 657-8501, Kobe, Japan

    Nobuki Takayama

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Van Deun, J., Cools, R. (2006). A Matlab Implementation of an Algorithm for Computing Integrals of Products of Bessel Functions. In: Iglesias, A., Takayama, N. (eds) Mathematical Software - ICMS 2006. ICMS 2006. Lecture Notes in Computer Science, vol 4151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11832225_29

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  • DOI: https://doi.org/10.1007/11832225_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-38084-9

  • Online ISBN: 978-3-540-38086-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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