Special.GegenbauerCSequence Method

Definition

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

Overload List

GegenbauerCSequence(Int32, Double, Double)	Evaluates a sequence of Gegenbauer polynomials of increasing degree.
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, Int32, Double, Double)	Evaluates a sequence of Gegenbauer polynomials of increasing degree starting at the specified degree.
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(Int32, Double, Double)

Evaluates a sequence of Gegenbauer polynomials of increasing degree.

public static Vector<double> GegenbauerCSequence(
	int length,
	double lambda,
	double x
)

Visual Basic

Public Shared Function GegenbauerCSequence ( 
	length As Integer,
	lambda As Double,
	x As Double
) As Vector(Of Double)

C++/CLI

public:
static Vector<double>^ GegenbauerCSequence(
	int length, 
	double lambda, 
	double x
)

static member GegenbauerCSequence : 
        length : int * 
        lambda : float * 
        x : float -> Vector<float>

Parameters

length Int32: The length of the sequence.
lambda Double: The parameter of the Gegenbauer polynomials.
x Double: A real number.

Return Value

Vector<Double>
A vector that contains length values of the Gegenbauer polynomial with parameter lambda and of increasing orders starting from zero evaluated at x.

Exceptions

ArgumentOutOfRangeException

length is less than zero.

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 lambda,
	double x,
	Vector<double> result
)

Visual Basic

Public Shared Function GegenbauerCSequence ( 
	length As Integer,
	lambda As Double,
	x As Double,
	result As Vector(Of Double)
) As Vector(Of Double)

C++/CLI

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

static member GegenbauerCSequence : 
        length : int * 
        lambda : float * 
        x : float * 
        result : Vector<float> -> Vector<float>

Parameters

length Int32: The length of the sequence.
lambda Double: The parameter of the Gegenbauer polynomials.
x Double: A real number.
result Vector<Double>: 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 lambda and of increasing orders starting from zero evaluated at x.

Exceptions

ArgumentOutOfRangeException

length is less than zero.

GegenbauerCSequence(Int32, Int32, Double, Double)

Evaluates a sequence of Gegenbauer polynomials of increasing degree starting at the specified degree.

public static Vector<double> GegenbauerCSequence(
	int startDegree,
	int length,
	double lambda,
	double x
)

Visual Basic

Public Shared Function GegenbauerCSequence ( 
	startDegree As Integer,
	length As Integer,
	lambda As Double,
	x As Double
) As Vector(Of Double)

C++/CLI

public:
static Vector<double>^ GegenbauerCSequence(
	int startDegree, 
	int length, 
	double lambda, 
	double x
)

static member GegenbauerCSequence : 
        startDegree : int * 
        length : int * 
        lambda : float * 
        x : float -> Vector<float>

Parameters

startDegree Int32: An integer that specifies the first degree in the sequence.
length Int32: The length of the sequence.
lambda Double: The parameter of the Gegenbauer polynomials.
x Double: A real number.

Return Value

Vector<Double>
A vector that contains length values of the Gegenbauer polynomial with parameter lambda and of increasing orders starting from startDegree evaluated at x.

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

-or-

length 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 lambda,
	double x,
	Vector<double> result
)

Visual Basic

Public Shared Function GegenbauerCSequence ( 
	startDegree As Integer,
	length As Integer,
	lambda As Double,
	x As Double,
	result As Vector(Of Double)
) As Vector(Of Double)

C++/CLI

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

static member GegenbauerCSequence : 
        startDegree : int * 
        length : int * 
        lambda : float * 
        x : float * 
        result : Vector<float> -> Vector<float>

Parameters

startDegree Int32: An integer that specifies the first degree in the sequence.
length Int32: The length of the sequence.
lambda Double: The parameter of the Gegenbauer polynomials.
x Double: A real number.
result Vector<Double>: 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 lambda 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(Int32, Double, Double)

Parameters

Return Value

Exceptions

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

Parameters

Return Value

Exceptions

GegenbauerCSequence(Int32, Int32, Double, Double)

Parameters

Return Value

Exceptions

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

Parameters

Return Value

Exceptions

See Also

Reference