gegenbauer_cc, a FORTRAN90 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 C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
GEGENBAUER_EXACTNESS, a FORTRAN90 code which tests the monomial exactness of Gauss-Gegenbauer quadrature rules.
GEGENBAUER_POLYNOMIAL, a FORTRAN90 code which evaluates the Gegenbauer polynomial and associated functions.
GEGENBAUER_RULE, a FORTRAN90 code which can compute and print a Gauss-Gegenbauer quadrature rule.