Special.GegenbauerCSequence Method

Definition

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

Overload List

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

GegenbauerCSequence(Double, Double, Span<Double>)

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

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

Visual Basic

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

C++/CLI

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

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

Parameters

alpha Double: The parameter of the Gegenbauer polynomials.
x Double: A real number.
result Span<Double>: The span that is to hold the result.

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

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

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

Visual Basic

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

C++/CLI

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

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

Parameters

length Int32: The length of the sequence.
alpha Double: The parameter of the Gegenbauer polynomials.
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 Gegenbauer polynomial with parameter alpha and of increasing orders starting from zero evaluated at x.

Exceptions

ArgumentOutOfRangeException

length is less than zero.

GegenbauerCSequence(Int32, Double, Double, Span<Double>)

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

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

Visual Basic

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

C++/CLI

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

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

Parameters

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

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

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

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

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

Visual Basic

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

C++/CLI

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

static member GegenbauerCSequence : 
        startDegree : int * 
        length : int * 
        alpha : float * 
        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.
alpha Double: The parameter of the Gegenbauer polynomials.
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 Gegenbauer polynomial with parameter alpha and of increasing orders starting from startDegree evaluated at x.

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

-or-

length is less than zero.

Special.GegenbauerCSequence Method

Definition

Overload List

GegenbauerCSequence(Double, Double, Span<Double>)

Parameters

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

Parameters

Return Value

Exceptions

GegenbauerCSequence(Int32, Double, Double, Span<Double>)

Parameters

Exceptions

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

Parameters

Return Value

Exceptions

See Also

Reference