Special.JacobiPSequence Method

Definition

Namespace: Numerics.NET
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.4

Overload List

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

JacobiPSequence(Double, Double, Double, Span<Double>)

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

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

Visual Basic

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

C++/CLI

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

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

Parameters

alpha Double: The first parameter of the Jacobi polynomial.
beta Double: The second parameter of the Jacobi polynomial.
x Double: A real number.
result Span<Double>: The span that is to hold the result.

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

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

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

Visual Basic

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

C++/CLI

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

static member JacobiPSequence : 
        length : int * 
        alpha : float * 
        beta : 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 first parameter of the Jacobi polynomial.
beta Double: The second parameter of the Jacobi polynomial.
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 Jacobi polynomial with parameter alpha and beta and of increasing orders starting from zero evaluated at x.

Exceptions

ArgumentOutOfRangeException

length is less than zero.

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

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

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

Visual Basic

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

C++/CLI

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

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

Parameters

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

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

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

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

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

Visual Basic

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

C++/CLI

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

static member JacobiPSequence : 
        startDegree : int * 
        length : int * 
        alpha : float * 
        beta : 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 first parameter of the Jacobi polynomial.
beta Double: The second parameter of the Jacobi polynomial.
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 Jacobi polynomial with parameter alpha and beta and of increasing orders starting from startDegree evaluated at x.

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

-or-

length is less than zero.

Special.JacobiPSequence Method

Definition

Overload List

JacobiPSequence(Double, Double, Double, Span<Double>)

Parameters

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

Parameters

Return Value

Exceptions

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

Parameters

Exceptions

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

Parameters

Return Value

Exceptions

See Also

Reference