gsl::sf::lambert Namespace Reference

Lambert functions. More...

Functions
int	W0_e (double x, result &result)
	C++ version of gsl_sf_lambert_W0_e(). More...
double	W0 (double x)
	C++ version of gsl_sf_lambert_W0(). More...
int	Wm1_e (double x, result &result)
	C++ version of gsl_sf_lambert_Wm1_e(). More...
double	Wm1 (double x)
	C++ version of gsl_sf_lambert_Wm1(). More...

Detailed Description

Lambert functions.

Function Documentation

W0()

double gsl::sf::lambert::W0 ( double  x )

inline

C++ version of gsl_sf_lambert_W0().

Lambert's Function W_0(x)

W_0(x) is the principal branch of the implicit function defined by W e^W = x.

\(-1/E < x < \infty\)

Parameters

x	A real value

Returns

The function value

Definition at line 58 of file sf_lambert.hpp.

W0_e()

int gsl::sf::lambert::W0_e ( double  x, result &  result  )

inline

C++ version of gsl_sf_lambert_W0_e().

Lambert's Function W_0(x)

W_0(x) is the principal branch of the implicit function defined by W e^W = x.

\(-1/E < x < \infty\)

Parameters

x	A real value
result	The result as a gsl::sf::result object

Returns

GSL_SUCCESS or GSL_EMAXITER

Definition at line 45 of file sf_lambert.hpp.

Wm1()

double gsl::sf::lambert::Wm1 ( double  x )

inline

C++ version of gsl_sf_lambert_Wm1().

Lambert's Function W_{-1}(x)

W_{-1}(x) is the second real branch of the implicit function defined by W e^W = x. It agrees with W_0(x) when x >= 0.

\(-1/E < x < \infty\)

Parameters

x	A real value

Returns

The function value

Definition at line 86 of file sf_lambert.hpp.

Wm1_e()

int gsl::sf::lambert::Wm1_e ( double  x, result &  result  )

inline

C++ version of gsl_sf_lambert_Wm1_e().

Lambert's Function W_{-1}(x)

W_{-1}(x) is the second real branch of the implicit function defined by W e^W = x. It agrees with W_0(x) when x >= 0.

\(-1/E < x < \infty\)

Parameters

x	A real value
result	The result as a gsl::sf::result object

Returns

GSL_SUCCESS or GSL_EMAXITER

Definition at line 72 of file sf_lambert.hpp.