Special.Hankel H 1Scaled Method
Evaluates the Hankel function of the first kind of real order and complex argument
and complex argument scaled to remove the exponential factor along the imaginary axis.
Definition
Namespace: Numerics.NET
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.6
C#
The value of the Hankel function of the first kind of order nu at z.
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.6
public static Complex<double> HankelH1Scaled(
double nu,
Complex<double> z
)
Parameters
- nu Double
- A real number that specifies the order of the Bessel function.
- z Complex<Double>
- The value at which to evaluate the function.
Return Value
Complex<Double>The value of the Hankel function of the first kind of order nu at z.
Remarks
The Hankel functions are linear combinations of Bessel functions of the first and second kind. These functions increase exponentially as the imaginary part of the argument increases. This function returns the Hankel function of the second kind scaled by a factor of exp(-|Im(z)|) to remove this exponential factor.
For real z, the scale factor is 1 so the scaled function is identical to the original.