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Special.LaguerreLSequence Method

Definition

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

Overload List

LaguerreLSequence(Int32, Double)	Evaluates a sequence of Laguerre polynomials of increasing degree.
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, Double)	Evaluates a sequence of generalized Laguerre polynomials of increasing degree
LaguerreLSequence(Int32, Int32, Double)	Evaluates a sequence of Laguerre polynomials of increasing degree starting at the specified degree.
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, 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)	Evaluates a sequence of generalized Laguerre polynomials of increasing degree starting at the specified degree.
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(Int32, Double)

Evaluates a sequence of Laguerre polynomials of increasing degree.

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

Visual Basic

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

C++/CLI

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

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

Parameters

length Int32: The length of the sequence.
x Double: A real number.

Return Value

Vector<Double>
A vector that 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, 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
)

Visual Basic

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

C++/CLI

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

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

Parameters

length Int32: The length of the sequence.
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 Laguerre polynomial of increasing orders starting from zero evaluated at x.

Exceptions

ArgumentOutOfRangeException

length is less than zero.

LaguerreLSequence(Int32, Double, Double)

Evaluates a sequence of generalized Laguerre polynomials of increasing degree

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

Visual Basic

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

C++/CLI

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

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

Parameters

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

Return Value

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

Exceptions

ArgumentOutOfRangeException

length is less than zero.

LaguerreLSequence(Int32, Int32, Double)

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

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

Visual Basic

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

C++/CLI

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

static member LaguerreLSequence : 
        startDegree : int * 
        length : int * 
        x : float -> 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.

Return Value

Vector<Double>
A vector that 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, 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 lambda,
	double x,
	Vector<double> result
)

Visual Basic

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

C++/CLI

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

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

Exceptions

ArgumentOutOfRangeException

length 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
)

Visual Basic

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

C++/CLI

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

static member LaguerreLSequence : 
        startDegree : int * 
        length : int * 
        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.
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 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)

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

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

Visual Basic

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

C++/CLI

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

static member LaguerreLSequence : 
        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 generalized Laguerre polynomials.
x Double: A real number.

Return Value

Vector<Double>
A vector that contains length values of the generalized Laguerre 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.

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 lambda,
	double x,
	Vector<double> result
)

Visual Basic

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

static member LaguerreLSequence : 
        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 generalized Laguerre 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 generalized Laguerre 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.LaguerreLSequence Method

Definition

Overload List

LaguerreLSequence(Int32, Double)

Parameters

Return Value

Exceptions

LaguerreLSequence(Int32, Double, Vector<Double>)

Parameters

Return Value

Exceptions

LaguerreLSequence(Int32, Double, Double)

Parameters

Return Value

Exceptions

LaguerreLSequence(Int32, Int32, Double)

Parameters

Return Value

Exceptions

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

Parameters

Return Value

Exceptions

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

Parameters

Return Value

Exceptions

LaguerreLSequence(Int32, Int32, Double, Double)

Parameters

Return Value

Exceptions

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

Parameters

Return Value

Exceptions

See Also

Reference