gegenbauer_cc, a Python code 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) dxwhere -0.5 < lambda.
The computer code and data files made available on this web page are distributed under the MIT license
gegenbauer_cc is available in a FORTRAN90 version and a MATLAB version and a Python version.
gegenbauer_polynomial, a Python code which evaluates the Gegenbauer polynomial and associated functions.