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SpecialFunctionsMittagLefflerE(Double, Double, Double, Complex) Method

Computes the three-parameter Mittag-Leffler function, E_(α, β, γ)(z).

Namespace: Altaxo.Calc
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
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public static Complex MittagLefflerE(
	double alpha,
	double beta,
	double gamma,
	Complex z
)

Parameters

alpha  Double

[Missing <param name="alpha"/> documentation for "M:Altaxo.Calc.SpecialFunctions.MittagLefflerE(System.Double,System.Double,System.Double,System.Numerics.Complex)"]

beta  Double

[Missing <param name="beta"/> documentation for "M:Altaxo.Calc.SpecialFunctions.MittagLefflerE(System.Double,System.Double,System.Double,System.Numerics.Complex)"]

gamma  Double

[Missing <param name="gamma"/> documentation for "M:Altaxo.Calc.SpecialFunctions.MittagLefflerE(System.Double,System.Double,System.Double,System.Numerics.Complex)"]

z  Complex
The value to evaluate.

Return Value

Complex
The Mittag-Leffler function evaluated at given value.
Remarks
E_(α, β, γ)(z) = sum_(k=0)^∞ (z^k Γ(k + γ))/(k! Γ(γ) Γ(k α + β)), where α and γ must be positive real number. If γ is not 1, α must be (0, 1) and |arg(z)| > α π.
See Also