Special.LaguerreLSequence Method

Definition

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

Overload List

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

LaguerreLSequence(Double, Span<Double>)

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

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

Visual Basic

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

C++/CLI

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

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

Parameters

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

LaguerreLSequence(Double, Double, Span<Double>)

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

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

Visual Basic

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

C++/CLI

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

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

Parameters

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

LaguerreLSequence(Int32, Double, Vector<Double>)

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

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

Visual Basic

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

C++/CLI

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

static member LaguerreLSequence : 
        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 Laguerre polynomial of increasing orders starting from zero evaluated at x.

Exceptions

ArgumentOutOfRangeException

length is less than zero.

LaguerreLSequence(Int32, Double, Span<Double>)

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

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

Visual Basic

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

C++/CLI

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

static member LaguerreLSequence : 
        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.

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

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

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

Visual Basic

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

static member LaguerreLSequence : 
        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 generalized Laguerre 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 generalized Laguerre polynomial with parameter alpha and of increasing orders starting from zero evaluated at x.

Exceptions

ArgumentOutOfRangeException

length is less than zero.

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

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

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

Visual Basic

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

C++/CLI

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

static member LaguerreLSequence : 
        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 generalized Laguerre polynomials.
x Double: A real number.
result Span<Double>: The span that is to hold the result.

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

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

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

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

Visual Basic

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

static member LaguerreLSequence : 
        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 Laguerre polynomial of increasing orders starting from startDegree evaluated at x.

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

-or-

length is less than zero.

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

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

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

Visual Basic

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

static member LaguerreLSequence : 
        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 generalized Laguerre 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 generalized Laguerre 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.LaguerreLSequence Method

Definition

Overload List

LaguerreLSequence(Double, Span<Double>)

Parameters

LaguerreLSequence(Double, Double, Span<Double>)

Parameters

LaguerreLSequence(Int32, Double, Vector<Double>)

Parameters

Return Value

Exceptions

LaguerreLSequence(Int32, Double, Span<Double>)

Parameters

Exceptions

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

Parameters

Return Value

Exceptions

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

Parameters

Exceptions

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

Parameters

Return Value

Exceptions

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

Parameters

Return Value

Exceptions

See Also

Reference