src/main/cpp/numerics4cpp/special/beta.h File Reference

#include "../numerics.h"

Go to the source code of this file.

Functions
double	log_beta (double a, double b)
double	regularized_beta (double x, double a, double b)

---

Detailed Description

Implementations for several functions related to the Beta function.

---

Function Documentation

double log_beta	(	double	a,
		double	b
	)

Returns the natural logarithm of the beta function B(a, b) (1).

References:

1. Eric W. Weisstein. "Beta Function." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/BetaFunction.html

Parameters:

	a	the a parameter.
	b	the b parameter.

Returns:

log(B(a, b))

double regularized_beta	(	double	x,
		double	a,
		double	b
	)

Returns the regularized beta function I_x(a, b) (1).

References:

1. Eric W. Weisstein. "Regularized Beta Function." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/RegularizedBetaFunction.html

Parameters:

	x	the evaluation point.
	a	the a parameter.
	b	the b parameter.

Returns:

I_x(a, b)

---