QuantLib
A free/open-source library for quantitative finance
Reference manual - version 1.20
Public Member Functions | List of all members
GaussGegenbauerIntegration Class Reference

Gauss-Gegenbauer integration. More...

#include <ql/math/integrals/gaussianquadratures.hpp>

+ Inheritance diagram for GaussGegenbauerIntegration:

Public Member Functions

 GaussGegenbauerIntegration (Size n, Real lambda)
 
- Public Member Functions inherited from GaussianQuadrature
 GaussianQuadrature (Size n, const GaussianOrthogonalPolynomial &p)
 
template<class F >
Real operator() (const F &f) const
 
Size order () const
 
const Arrayweights ()
 
const Arrayx ()
 

Additional Inherited Members

- Protected Attributes inherited from GaussianQuadrature
Array x_
 
Array w_
 

Detailed Description

Gauss-Gegenbauer integration.

This class performs a 1-dimensional Gauss-Gegenbauer integration.

\[ \int_{-1}^{1} f(x) \mathrm{d}x \]

The weighting function is

\[ w(x)=(1-x^2)^{\lambda-1/2} \]