Next: , Previous: Bessel Functions, Up: Special Functions

### 7.6 Clausen Functions

The Clausen function is defined by the following integral,

     Cl_2(x) = - \int_0^x dt \log(2 \sin(t/2))


It is related to the dilogarithm by Cl_2(\theta) = \Im Li_2(\exp(i\theta)). The Clausen functions are declared in the header file gsl_sf_clausen.h.

— Function: double gsl_sf_clausen (double x)
— Function: int gsl_sf_clausen_e (double x, gsl_sf_result * result)

These routines compute the Clausen integral Cl_2(x).

The GNU Scientific Library - a free numerical library licensed under the GNU GPL
Back to the GNU Scientific Library Homepage