Special.ChebyshevUSequence Method

Definition

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

Overload List

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

ChebyshevUSequence(Double, Span<Double>)

Evaluates a sequence of Chebyshev polynomials of the second kind of increasing degree and returns the result in the specified span.

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

Visual Basic

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

C++/CLI

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

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

Parameters

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

ChebyshevUSequence(Int32, Double, Vector<Double>)

Evaluates a sequence of Chebyshev polynomials of the second kind of increasing degree and returns the result in the specified vector.

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

Visual Basic

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

C++/CLI

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

static member ChebyshevUSequence : 
        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 Chebyshev polynomial of the second kind of increasing orders starting from zero evaluated at x.

Exceptions

ArgumentOutOfRangeException

length is less than zero.

ChebyshevUSequence(Int32, Double, Span<Double>)

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

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

Visual Basic

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

C++/CLI

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

static member ChebyshevUSequence : 
        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.

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

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

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

Visual Basic

Public Shared Function ChebyshevUSequence ( 
	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>^ ChebyshevUSequence(
	int startDegree, 
	int length, 
	double x, 
	Vector<double>^ result = nullptr
)

static member ChebyshevUSequence : 
        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 Chebyshev polynomial of the second kind of increasing orders starting from startDegree evaluated at x.

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

-or-

length is less than zero.

Special.ChebyshevUSequence Method

Definition

Overload List

ChebyshevUSequence(Double, Span<Double>)

Parameters

ChebyshevUSequence(Int32, Double, Vector<Double>)

Parameters

Return Value

Exceptions

ChebyshevUSequence(Int32, Double, Span<Double>)

Parameters

Exceptions

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

Parameters

Return Value

Exceptions

See Also

Reference