In this file we declare functions around the gamma function. More...

#include <vector>
#include "STK_Const_Math.h"
#include "STK_Const_Sequences.h"

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Namespaces
namespace	STK
	The namespace STK is the main domain space of the Statistical ToolKit project.

namespace	STK::Funct
	The namespace Funct enclose all usual and special functions.

Functions
Real	STK::Funct::factorial (int n)
	This function computes for integer argument.

Real	STK::Funct::lfactorial (int n)
	This function computes $\ln(n!)$ for integer argument.

Real	STK::Funct::factorial (Real const &z)
	This function computes when z is an integer in a Real format.

Real	STK::Funct::lfactorial (Real const &z)
	This function computes $\ln(z!)$ when z is an integer in Real format.

Real	STK::Funct::gamma (Real const &z)
	This function computes the function $\Gamma(z)$ .

Real	STK::Funct::lgamma (Real const &z)
	This function computes the function $\ln(\Gamma(z))$ .

Real	STK::Funct::factorial_raw (int)

Real	STK::Funct::lfactorial_raw (int)

Real	STK::Funct::factorial_raw (Real const &)

Real	STK::Funct::lfactorial_raw (Real const &)

Real	STK::Funct::gamma_raw (Real const &)

Real	STK::Funct::lgamma_raw (Real const &)

Real	STK::Funct::lanczosSerie (Real const &z)
	Compute the Lanzcos correction series for the gamma function with n = 21 terms.

Real	STK::Funct::gammaLanczos (Real const &z)
	Compute the gamma function using the Lanzcos expansion using n = 21 terms and r= 22.618910.

double	STK::Funct::stirlingSerie (Real const &z)
	Compute the Stirling's series for the lgamma function.

Real	STK::Funct::gammaStirling (Real const &z)
	This function computes the gamma function using the Stirling approximation.

Real	STK::Funct::lgammaStirling (Real const &z)
	This function computes the log gamma function using the Stirling approximation.

Real	STK::Funct::lgammaStirlingError (Real const &z)
	Compute the error when we compute $\ln(\Gamma(z))$ using the Stirling's formula.

Real	STK::Funct::lgammaStirlingError (int n)
	Compute the error when we compute $\ln(\Gamma(z))$ using the Stirling's formula and z is an integer.

Detailed Description

In this file we declare functions around the gamma function.

Definition in file STK_Funct_gamma.h.

Namespaces

Functions

Detailed Description