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BESSELINT

BESSELINT is a Matlab program to integrate arbitrary products of Bessel functions over the real halfline. Only Bessel functions of the first kind are currently supported

Keywords for this software

Anything in here will be replaced on browsers that support the canvas element

  • \textttMatlab
  • quadrature
  • Bessel functions
  • adaptive quadrature
  • Bessel function
  • asymptotic expansions
  • summation
  • low-rank approximation
  • winding number
  • singular moduli
  • numeric-symbolic methods
  • Brownian motion
  • special functions
  • Ramanujan summation
  • numerical examples
  • (mW)-transformation
  • infinite range oscillatory integrals
  • nuclear reactions theory
  • random walk
  • spherical Bessel functions
  • (W)-algorithm
  • associated Legendre functions
  • infinite integrals over spherical Bessel functions
  • integrals over associated Legendre functions
  • self-avoiding random walk
  • divergent series
  • numerical integration
  • Riemann (R) function
  • \textttMatLab
  • extrapolation

  • URL: nines.cs.kuleuven.be/s...
  • InternetArchive
  • Authors: J. Van Deun; R. Cools
  • Dependencies: Matlab

  • Add information on this software.


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References in zbMATH (referenced in 9 articles , 1 standard article )

Showing results 1 to 9 of 9.
y Sorted by year (citations)

  1. Bornemann, Folkmar: The SIAM 100-Digit Challenge: a decade later. Inspirations, ramifications, and other eddies left in its wake (2016)
  2. Ratnanather, J. Tilak; Kim, Jung H.; Zhang, Sirong; Davis, Anthony M. J.; Lucas, Stephen K.: Algorithm 935: IIPBF, a MATLAB toolbox for infinite integral of products of two Bessel functions (2014)
  3. Mehrem, Rami: Analytical evaluation of an infinite integral over four spherical Bessel functions (2013)
  4. Sidi, Avram: A user-friendly extrapolation method for computing infinite range integrals of products of oscillatory functions (2012)
  5. Mehrem, R.; Hohenegger, A.: A generalization for the infinite integral over three spherical Bessel functions (2010)
  6. Van Deun, Joris; Cools, Ronald: Integrating products of Bessel functions with an additional exponential or rational factor (2008)
  7. Van Deun, Joris; Cools, Ronald: Algorithm 858: Computing infinite range integrals of an arbitrary product of Bessel functions. (2006)
  8. Van Deun, Joris; Cools, Ronald: A Matlab implementation of an algorithm for computing integrals of products of Bessel functions (2006)
  9. Van Deun, Joris; Cools, Ronald: A stable recurrence for the incomplete gamma function with imaginary second argument (2006)


Further publications can be found at: http://nines.cs.kuleuven.be/research/publications/
  • Article statistics & filter:

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  • MSC classification / top
    • Top MSC classes
      • 11 Number theory
      • 33 Special functions
      • 40 Sequences, series,...
      • 60 Probability theory and...
      • 65 Numerical analysis
    • Other MSC classes
      • 41 Approximation and...
      • 68 Computer science

  • Publication year
    • 2010 - today
    • 2005 - 2009
    • 2000 - 2004
    • before 2000
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