STK_Funct_gammaRatio.cpp File Reference
In this file we implement functions around the gamma function ratio. More...
#include "../include/STK_Funct_gammaRatio.h"#include "../include/STK_ISerie.h"#include "../include/STK_Algo.h"#include "../include/STK_Funct_gamma.h"#include "../include/STK_Funct_util.h"#include "../include/STK_Funct_raw.h"
Include dependency graph for STK_Funct_gammaRatio.cpp:
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Namespaces | |
| namespace | STK |
STK means the Statistical ToolKit. | |
| namespace | STK::Funct |
The namespace Funct enclose all usual and special functions. | |
Functions | |
| static Real | STK::Funct::apois (Real const &a, Real const &b) |
| Compute the poisson density up to a factor. | |
| static Real | STK::Funct::gammaRatio_dl (Real const &a, Real const &x, const bool &lower_tail) |
| Compute the incomplete gamma function ratio Q(a,x) using the Taylor serie development representation
| |
| static Real | STK::Funct::gammaRatio_cf (Real const &a, Real const &x, const bool lower_tail) |
| Compute the incomplete gamma function ratio Q(a, x) using its continued fraction representation. | |
| static Real | STK::Funct::gammaRatio_sr (Real const &a, Real const &x, const bool &lower_tail) |
| Compute the incomplete gamma function ratio P(a,x) using the serie development representation. | |
| static Real | STK::Funct::gammaRatio_ae (Real const &a, Real const &x, const bool &lower_tail) |
| Compute the incomplete gamma function ratio Q(a,x) using its asymptotic expansion. | |
| static Real | STK::Funct::poisson_ae (Real const &a1, Real const &apd, const bool &lower_tail=true) |
| Compute the incomplete gamma function ratio P(a,x) using the Poisson asymptotic expansion. | |
| Real | STK::Funct::gammaRatioQ (Real const &a, Real const &x) |
| Compute the incomplete gamma function ratio Q(a,x). | |
| Real | STK::Funct::gammaRatioP (Real const &a, Real const &x) |
| Compute the incomplete gamma function ratio P(a,x). | |
| Real | STK::Funct::gammaRatio (Real const &a, Real const &x, const bool &lower_tail) |
| Compute the incomplete gamma functions ratio. | |
![\[ Q(a, x) = 1- \frac{x^a}{\Gamma(a+1)} - \frac{x^a}{\Gamma(a)} \sum_{n=1}^\infty (-1)^n\frac{x^n}{(a+n)n!} \]](form_148.png)
Detailed Description
In this file we implement functions around the gamma function ratio.
Definition in file STK_Funct_gammaRatio.cpp.
