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

Joris Van Deun | Zendy; Ronald Cools | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Joris Van Deun,

Ronald Cools

Publication year - 2006

Publication title -

lecture notes in computer science

Language(s) - English

Resource type - Book series

SCImago Journal Rank - 0.249

H-Index - 400

eISSN - 1611-3349

pISSN - 0302-9743

ISBN - 3-540-38084-1

DOI - 10.1007/11832225_29

Subject(s) - bessel function , matlab , laplace transform , bessel polynomials , representation (politics) , struve function , product (mathematics) , algorithm , bessel process , function (biology) , range (aeronautics) , cylindrical harmonics , computer science , mathematics , algebra over a field , mathematical analysis , pure mathematics , geometry , engineering , programming language , evolutionary biology , politics , political science , law , biology , classical orthogonal polynomials , macdonald polynomials , gegenbauer polynomials , orthogonal polynomials , aerospace engineering , difference polynomials

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research