Special.HermiteHSequence Method

Definition

Namespace: Numerics.NET
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.2

Overload List

HermiteHSequence(Double, Span<Double>)	Evaluates a sequence of Hermite polynomials of increasing degree and returns the result in the specified span.
HermiteHSequence(Int32, Double, Vector<Double>)	Evaluates a sequence of Hermite polynomials of increasing degree and returns the result in the specified vector.
HermiteHSequence(Int32, Double, Span<Double>)	Evaluates a sequence of Hermite polynomials of increasing degree starting at the specified degree and returns the result in the specified span.
HermiteHSequence(Int32, Int32, Double, Vector<Double>)	Evaluates a sequence of Hermite polynomials of increasing degree starting at the specified degree and returns the result in the specified vector.

HermiteHSequence(Double, Span<Double>)

Evaluates a sequence of Hermite polynomials of increasing degree and returns the result in the specified span.

public static void HermiteHSequence(
	double x,
	Span<double> result
)

Visual Basic

Public Shared Sub HermiteHSequence ( 
	x As Double,
	result As Span(Of Double)
)

C++/CLI

public:
static void HermiteHSequence(
	double x, 
	Span<double> result
)

static member HermiteHSequence : 
        x : float * 
        result : Span<float> -> unit

Parameters

x Double: A real number.
result Span<Double>: The span that is to hold the result.

HermiteHSequence(Int32, Double, Vector<Double>)

Evaluates a sequence of Hermite polynomials of increasing degree and returns the result in the specified vector.

public static Vector<double> HermiteHSequence(
	int length,
	double x,
	Vector<double>? result = null
)

Visual Basic

Public Shared Function HermiteHSequence ( 
	length As Integer,
	x As Double,
	Optional result As Vector(Of Double) = Nothing
) As Vector(Of Double)

C++/CLI

public:
static Vector<double>^ HermiteHSequence(
	int length, 
	double x, 
	Vector<double>^ result = nullptr
)

static member HermiteHSequence : 
        length : int * 
        x : float * 
        ?result : Vector<float> 
(* Defaults:
        let _result = defaultArg result null
*)
-> Vector<float>

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 Hermite polynomial of increasing orders starting from zero evaluated at x.

Exceptions

ArgumentOutOfRangeException	length is less than zero.
DimensionMismatchException	The length of result is not long enough to store the results.

HermiteHSequence(Int32, Double, Span<Double>)

Evaluates a sequence of Hermite polynomials of increasing degree starting at the specified degree and returns the result in the specified span.

public static void HermiteHSequence(
	int startDegree,
	double x,
	Span<double> result
)

Visual Basic

Public Shared Sub HermiteHSequence ( 
	startDegree As Integer,
	x As Double,
	result As Span(Of Double)
)

C++/CLI

public:
static void HermiteHSequence(
	int startDegree, 
	double x, 
	Span<double> result
)

static member HermiteHSequence : 
        startDegree : int * 
        x : float * 
        result : Span<float> -> unit

Parameters

startDegree Int32: An integer that specifies the first degree in the sequence.
x Double: A real number.
result Span<Double>: The span that is to hold the result.

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

HermiteHSequence(Int32, Int32, Double, Vector<Double>)

Evaluates a sequence of Hermite polynomials of increasing degree starting at the specified degree and returns the result in the specified vector.

public static Vector<double> HermiteHSequence(
	int startDegree,
	int length,
	double x,
	Vector<double>? result = null
)

Visual Basic

Public Shared Function HermiteHSequence ( 
	startDegree As Integer,
	length As Integer,
	x As Double,
	Optional result As Vector(Of Double) = Nothing
) As Vector(Of Double)

C++/CLI

public:
static Vector<double>^ HermiteHSequence(
	int startDegree, 
	int length, 
	double x, 
	Vector<double>^ result = nullptr
)

static member HermiteHSequence : 
        startDegree : int * 
        length : int * 
        x : float * 
        ?result : Vector<float> 
(* Defaults:
        let _result = defaultArg result null
*)
-> Vector<float>

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 Hermite polynomial of increasing orders starting from startDegree evaluated at x.

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

-or-

length is less than zero.

DimensionMismatchException

The length of result is not long enough to store the results.

Special.HermiteHSequence Method

Definition

Overload List

HermiteHSequence(Double, Span<Double>)

Parameters

HermiteHSequence(Int32, Double, Vector<Double>)

Parameters

Return Value

Exceptions

HermiteHSequence(Int32, Double, Span<Double>)

Parameters

Exceptions

HermiteHSequence(Int32, Int32, Double, Vector<Double>)

Parameters

Return Value

Exceptions

See Also

Reference