SpecialDigamma Class

Provides the Digamma function (the logarithmic derivative of the Gamma function) for complex arguments.

Inheritance Hierarchy

SystemObject
Altaxo.CalcSpecialDigamma

Namespace: Altaxo.Calc
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)

Syntax

public class SpecialDigamma

The SpecialDigamma type exposes the following members.

Constructors

	Name	Description
	SpecialDigamma	Initializes a new instance of the SpecialDigamma class

Methods

	Name	Description
	asymptotic_series	Evaluates digamma(z) using an asymptotic series expansion.
	backward_recurrence	Computes digamma(z - n) from digamma(z) using the recurrence relation digamma(z - 1) = digamma(z) - 1/(z - 1).
	Digamma	Digamma function of complex argument z.
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object)
	forward_recurrence	Computes digamma(z + n) from digamma(z) using the recurrence relation digamma(z + 1) = digamma(z) + 1/z.
	GetHashCode	Serves as the default hash function. (Inherited from Object)
	GetType	Gets the Type of the current instance. (Inherited from Object)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)
	ToString	Returns a string that represents the current object. (Inherited from Object)
	zeta	Computes the Hurwitz zeta function for integer n = s.
	zeta_series	Evaluates digamma(z) near a simple root using a Taylor series whose coefficients are expressed via the Hurwitz zeta function.

Remarks

This implementation is based on a translation from SciPy.