Special.Bessel YScaled Method
Evaluates the Bessel function of the second kind of real order 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 Bessel function of the second kind of order nu at z.
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.6
public static Complex<double> BesselYScaled(
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 Bessel function of the second kind of order nu at z.
Remarks
The Bessel functions of the first kind increase exponentially as the imaginary part of the argument increases. This function returns the Bessel 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.