C# Class YAMP.Numerics.Gamma

This class contains the linear gamma function as well as complex ones and logarithmic ones.

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Public Methods

Method	Description
Beta ( ScalarValue a, ScalarValue b ) : ScalarValue	Computes the complex beta function, Gamma(a) * Gamma(b) / Gamma(a+b).
Beta ( double a, double b ) : double	Computes the real beta function, Gamma(a) * Gamma(b) / Gamma(a+b).
LinearGamma ( ScalarValue z ) : ScalarValue	Computes the complex (linear) gamma function.
LinearGamma ( double x ) : double	Computes the real (linear) gamma function.
LogGamma ( ScalarValue z ) : ScalarValue	Computes the complex (log) gamma function.
LogGamma ( double x ) : double	Computes the real (log) gamma function.
Psi ( double x ) : double	Computes the real psi, usually called the digamma function, which is defined as the logarithmic derivative of the gamma function.

Method	Description
LanczosLogGamma ( ScalarValue z ) : ScalarValue
LanczosLogGamma ( double x ) : double
LanczosPsi ( double x ) : double
LogGamma_Stirling ( ScalarValue z ) : ScalarValue
LogGamma_Stirling ( double x ) : double
Psi_Stirling ( double x ) : double

Computes the complex beta function, Gamma(a) * Gamma(b) / Gamma(a+b).

public static Beta ( ScalarValue a, ScalarValue b ) : ScalarValue
a	ScalarValue	The first complex parameter.
b	ScalarValue	The second complex parameter.
return	ScalarValue

Computes the real beta function, Gamma(a) * Gamma(b) / Gamma(a+b).

public static Beta ( double a, double b ) : double
a	double	The first parameter.
b	double	The second parameter.
return	double

Computes the complex (linear) gamma function.

public static LinearGamma ( ScalarValue z ) : ScalarValue
z	ScalarValue	The complex argument.
return	ScalarValue

Computes the real (linear) gamma function.

public static LinearGamma ( double x ) : double
x	double	The argument.
return	double

Computes the complex (log) gamma function.

public static LogGamma ( ScalarValue z ) : ScalarValue
z	ScalarValue	The complex argument.
return	ScalarValue

Computes the real (log) gamma function.

public static LogGamma ( double x ) : double
x	double	The argument.
return	double

Computes the real psi, usually called the digamma function, which is defined as the logarithmic derivative of the gamma function.

public static Psi ( double x ) : double
x	double	The real argument.
return	double