PolyGamma Struct Reference

Evaluate the di-gamma, tri-gamma and n-gamma functions. More...

#include <PolyGamma.h>

List of all members.

Static Public Member Functions
double	DiGamma (const int n)
	Evaluate Di-Gamma(n) for integer n.
Dpair	DiGammaErr (const int n)
	Evaluate Di-Gamma(n) and estimate the error.
double	DiGamma (const double x)
	Evaluate Di-Gamma(x).
Dpair	DiGammaErr (const double x)
	Evaluate Di-Gamma and estimate the error.
double	DiGammaI (const double y)
	Evaluate DiGamma(y) = Re[psi(1+iy)].
Dpair	DiGammaIErr (const double y)
	Evaluate DiGamma(y) = Re[psi(1+iy)] and estimate the error.
double	TriGamma (const int n)
	Evaluate Tri-Gamma(n) for integer n.
Dpair	TriGammaErr (const int n)
	Evaluate Tri-Gamma(n) and estimate the error.
double	PolyGammaN (const int n, const double x)
	Evaluate Poly-Gamma(n,x).
Dpair	PolyGammaNErr (const int n, const double x)
	Evaluate Poly-Gamma(n,x) and estimate the error.

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Detailed Description

Evaluate the di-gamma, tri-gamma and n-gamma functions.

Definition at line 26 of file PolyGamma.h.

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Member Function Documentation

double PolyGamma::DiGamma (  const double  x  )  [static]

Evaluate Di-Gamma(x).

double PolyGamma::DiGamma (  const int  n  )  [static]

Evaluate Di-Gamma(n) for integer n.

Dpair PolyGamma::DiGammaErr (  const double  x  )  [static]

Evaluate Di-Gamma and estimate the error.

Dpair PolyGamma::DiGammaErr (  const int  n  )  [static]

Evaluate Di-Gamma(n) and estimate the error.

double PolyGamma::DiGammaI (  const double  y  )  [static]

Evaluate DiGamma(y) = Re[psi(1+iy)].

Dpair PolyGamma::DiGammaIErr (  const double  y  )  [static]

Evaluate DiGamma(y) = Re[psi(1+iy)] and estimate the error.

double PolyGamma::PolyGammaN (  const int  n, const double  x )  [static]

Evaluate Poly-Gamma(n,x).

Dpair PolyGamma::PolyGammaNErr (  const int  n, const double  x )  [static]

Evaluate Poly-Gamma(n,x) and estimate the error.

double PolyGamma::TriGamma (  const int  n  )  [static]

Evaluate Tri-Gamma(n) for integer n.

Dpair PolyGamma::TriGammaErr (  const int  n  )  [static]

Evaluate Tri-Gamma(n) and estimate the error.

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The documentation for this struct was generated from the following file:

• PolyGamma.h

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