Special.HermiteHSeries Method

Definition

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

Overload List

HermiteHSeries(Vector<Double>, Double) Evaluates a series of Hermite polynomials.
HermiteHSeries(Vector<Double>, Double, Int32) Evaluates a series of Hermite polynomials up to the specified degree.

HermiteHSeries(Vector<Double>, Double)

Evaluates a series of Hermite polynomials.
C#
public static double HermiteHSeries(
	Vector<double> coefficients,
	double x
)

Parameters

coefficients  Vector<Double>
A vector containing the coefficients.
x  Double
The value for which to evaluate the series.

Return Value

Double
The sum of the Laguerre polynomials at x multiplied by the corresponding element of coefficients.

Exceptions

ArgumentNullException

coefficients is null.

HermiteHSeries(Vector<Double>, Double, Int32)

Evaluates a series of Hermite polynomials up to the specified degree.
C#
public static double HermiteHSeries(
	Vector<double> coefficients,
	double x,
	int maxDegree
)

Parameters

coefficients  Vector<Double>
A vector containing the coefficients.
x  Double
The value for which to evaluate the series.
maxDegree  Int32
The degree of the highest order Chebyshev polynomial to include in the series.

Return Value

Double
The sum of the Hermite polynomials up to degree maxDegree evaluated at x and multiplied by the corresponding element of coefficients.

Remarks

If maxDegree is less than zero, then zero is returned.

Exceptions

ArgumentNullException

coefficients is null.

See Also