GNU Scientific Library – Reference Manual: Clausen Functions

Next: Coulomb Functions, Previous: Bessel Functions, Up: Special Functions [Index]

### 7.6 Clausen Functions

The Clausen function is defined by the following integral, 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).