GEGENBAUER_CC
Gegenbauer Integral of a Function


GEGENBAUER_CC is a MATLAB library which uses a Clenshaw-Curtis approach to approximate the integral of a function f(x) with a Gegenbauer weight.

The Gegenbauer integral of a function f(x) is:

        value = integral ( -1 <= x <= + 1 ) ( 1 - x^2 )^(lambda-1/2) * f(x) dx
      
where -0.5 < lambda.

Licensing:

The computer code and data files made available on this web page are distributed under the GNU LGPL license.

Languages:

GEGENBAUER_CC is available in a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

GEGENBAUER_EXACTNESS, a MATLAB program which tests the monomial exactness of Gauss-Gegenbauer quadrature rules.

GEGENBAUER_POLYNOMIAL, a MATLAB library which evaluates the Gegenbauer polynomial and associated functions.

GEGENBAUER_RULE, a MATLAB program which can compute and print a Gauss-Gegenbauer quadrature rule.

Reference:

  1. D B Hunter, H V Smith,
    A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight function,
    Journal of Computational and Applied Mathematics,
    Volume 177, 2005, pages 389-400.

Source Code:

Examples and Tests:

You can go up one level to the MATLAB source codes.


Last modified on 14 January 2016.