Special.Hermite He Sequence Method
Definition
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Overload List
Hermite | Evaluates a sequence of Chebyshev-Hermite polynomials of increasing degree and returns the result in the specified span. |
Hermite | Evaluates a sequence of Chebyshev-Hermite polynomials of increasing degree and returns the result in the specified vector. |
Hermite | Evaluates a sequence of Chebyshev-Hermite polynomials of increasing degree starting at the specified degree and returns the result in the specified span. |
Hermite | Evaluates a sequence of Chebyshev-Hermite polynomials of increasing degree starting at the specified degree and returns the result in the specified vector. |
HermiteHeSequence(Double, Span<Double>)
public static void HermiteHeSequence(
double x,
Span<double> result
)
Parameters
Remarks
Also called the "probabilist's" Hermite polynomials, the Chebyshev-Hermite polynomials are scaled Hermite polynomials with leading coefficient 1.
HermiteHeSequence(Int32, Double, Vector<Double>)
public static Vector<double> HermiteHeSequence(
int length,
double x,
Vector<double>? result = null
)
Parameters
- length Int32
- The length of the sequence.
- x Double
- A real number.
- result Vector<Double> (Optional)
- Optional. The vector that is to hold the result. May be null.
Return Value
Vector<Double>The vector result, which contains length values of the Chebyshev-Hermite polynomial of increasing orders starting from zero evaluated at x.
Remarks
Also called the "probabilist's" Hermite polynomials, the Chebyshev-Hermite polynomials are scaled Hermite polynomials with leading coefficient 1.
Exceptions
Argument | length is less than zero. |
Dimension | The length of result is not long enough to store the results. |
HermiteHeSequence(Int32, Double, Span<Double>)
public static void HermiteHeSequence(
int startDegree,
double x,
Span<double> result
)
Parameters
Remarks
Also called the "probabilist's" Hermite polynomials, the Chebyshev-Hermite polynomials are scaled Hermite polynomials with leading coefficient 1.
Exceptions
Argument | startDegree is less than zero. |
HermiteHeSequence(Int32, Int32, Double, Vector<Double>)
public static Vector<double> HermiteHeSequence(
int startDegree,
int length,
double x,
Vector<double>? result = null
)
Parameters
- startDegree Int32
- An integer that specifies the first degree in the sequence.
- length Int32
- The length of the sequence.
- x Double
- A real number.
- result Vector<Double> (Optional)
- Optional. The vector that is to hold the result. May be null.
Return Value
Vector<Double>The vector result, which contains length values of the Chebyshev-Hermite polynomial of increasing orders starting from startDegree evaluated at x.
Remarks
Also called the "probabilist's" Hermite polynomials, the Chebyshev-Hermite polynomials are scaled Hermite polynomials with leading coefficient 1.
Exceptions
Argument | startDegree is less than zero. -or- length is less than zero. |
Dimension | The length of result is not long enough to store the results. |