AdvancedMathDirichletEta Method

Computes the Dirichlet eta function.

Definition

Namespace: Meta.Numerics.Functions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.2.0+6d77d64445f7d5d91b12e331399c4362ecb25333
C#
public static double DirichletEta(
	double x
)

Parameters

x  Double
The argument, which must be non-negative.

Return Value

Double
The value of η(s).

Remarks

The Dirichlet eta function is the sum of the xth inverse power of the natural numbers, with alternating signs.

Because these are just the terms of the Riemann zeta function (RiemannZeta(Double)) with alternating signs, it is also called the alternating zeta function.

It can be related to the Riemann ζ function.

Exceptions

See Also