Gamma

Documentation of 'smile.math.special.Gamma' Java class Gamma

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java.lang.Object
- smile.math.special.Gamma

```
public class Gamma
extends java.lang.Object
```
The gamma, digamma, and incomplete gamma functions.

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method and Description
`static double`	`digamma(double x)` The digamma function is defined as the logarithmic derivative of the gamma function.
`static double`	`gamma(double x)` Gamma function.
`static double`	`inverseRegularizedIncompleteGamma(double a, double p)` The inverse of regularized incomplete gamma function.
`static double`	`lgamma(double x)` log of the Gamma function.
`static double`	`regularizedIncompleteGamma(double s, double x)` Regularized Incomplete Gamma Function P(s,x) = ∫₀^x e^-t t^(s-1) dt
`static double`	`regularizedUpperIncompleteGamma(double s, double x)` Regularized Upper/Complementary Incomplete Gamma Function Q(s,x) = 1 - P(s,x) = 1 - ∫₀^x e^-t t^(s-1) dt

Methods inherited from class java.lang.Object
equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Method Detail
  - gamma
```
public static double gamma(double x)
```
    Gamma function. Lanczos approximation (6 terms).
  - lgamma
```
public static double lgamma(double x)
```
    log of the Gamma function. Lanczos approximation (6 terms)
  - regularizedIncompleteGamma
```
public static double regularizedIncompleteGamma(double s,
                                                double x)
```
    Regularized Incomplete Gamma Function P(s,x) = ∫₀^x e^-t t^(s-1) dt
  - regularizedUpperIncompleteGamma
```
public static double regularizedUpperIncompleteGamma(double s,
                                                     double x)
```
    Regularized Upper/Complementary Incomplete Gamma Function Q(s,x) = 1 - P(s,x) = 1 - ∫₀^x e^-t t^(s-1) dt
  - digamma
```
public static double digamma(double x)
```
    The digamma function is defined as the logarithmic derivative of the gamma function.
  - inverseRegularizedIncompleteGamma
```
public static double inverseRegularizedIncompleteGamma(double a,
                                                       double p)
```
    The inverse of regularized incomplete gamma function.

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