GammaFunction (Fiji Javadocs 0-SNAPSHOT API)

java.lang.Object
- pal.math.GammaFunction

```
public class GammaFunction
extends Object
```
gamma function

Version:

$Id: GammaFunction.java,v 1.1 2006/06/01 15:27:32 gene099 Exp $

Author:

Korbinian Strimmer

Constructor Summary

Constructors
Constructor and Description

GammaFunction()

Constructors
Constructor and Description
`GammaFunction()`

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method and Description
`static double`	`incompleteGammaP(double a, double x)` Incomplete Gamma function P(a,x) = 1-Q(a,x) (a cleanroom implementation of Numerical Recipes gammp(a,x); in Mathematica this function is 1-GammaRegularized)
`static double`	`incompleteGammaP(double a, double x, double lnGammaA)` Incomplete Gamma function P(a,x) = 1-Q(a,x) (a cleanroom implementation of Numerical Recipes gammp(a,x); in Mathematica this function is 1-GammaRegularized)
`static double`	`incompleteGammaQ(double a, double x)` Incomplete Gamma function Q(a,x) (a cleanroom implementation of Numerical Recipes gammq(a,x); in Mathematica this function is called GammaRegularized)
`static double`	`lnGamma(double alpha)` log Gamma function: ln(gamma(alpha)) for alpha>0, accurate to 10 decimal places

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

- Constructor Detail
  - GammaFunction
```
public GammaFunction()
```
- Method Detail
  - lnGamma
```
public static double lnGamma(double alpha)
```
    log Gamma function: ln(gamma(alpha)) for alpha>0, accurate to 10 decimal places
    
    Parameters:
    
    alpha - argument
  - incompleteGammaQ
```
public static double incompleteGammaQ(double a,
                                      double x)
```
    Incomplete Gamma function Q(a,x) (a cleanroom implementation of Numerical Recipes gammq(a,x); in Mathematica this function is called GammaRegularized)
    
    Parameters:
    
    a - parameter
    
    x - argument
    
    Returns:
    
    function value
  - incompleteGammaP
```
public static double incompleteGammaP(double a,
                                      double x)
```
    Incomplete Gamma function P(a,x) = 1-Q(a,x) (a cleanroom implementation of Numerical Recipes gammp(a,x); in Mathematica this function is 1-GammaRegularized)
    
    Parameters:
    
    a - parameter
    
    x - argument
    
    Returns:
    
    function value
  - incompleteGammaP
```
public static double incompleteGammaP(double a,
                                      double x,
                                      double lnGammaA)
```
    Incomplete Gamma function P(a,x) = 1-Q(a,x) (a cleanroom implementation of Numerical Recipes gammp(a,x); in Mathematica this function is 1-GammaRegularized)
    
    Parameters:
    
    a - parameter
    
    x - argument
    
    lnGammaA - precomputed lnGamma(a)
    
    Returns:
    
    function value

Class GammaFunction

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

GammaFunction

Method Detail

lnGamma

incompleteGammaQ

incompleteGammaP

incompleteGammaP