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GEGENBAUER_CC\ Gegenbauer Integral of a Function {#gegenbauer_cc-gegenbauer-integral-of-a-function align=”center”} =================================


GEGENBAUER_CC is a C++ 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: {#licensing align=”center”}

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

Languages: {#languages align=”center”}

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

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

Reference: {#reference align=”center”}

  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: {#source-code align=”center”}

Examples and Tests: {#examples-and-tests align=”center”}

List of Routines: {#list-of-routines align=”center”}

You can go up one level to the C++ source codes.


Last revised on 15 January 2016.