Special.LegendrePSequence Method

Definition

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

Overload List

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

LegendrePSequence(Int32, Double)

Evaluates a sequence of Legendre polynomials of increasing degree starting at the specified degree.
C# 
public static Vector<double> LegendrePSequence(
	int length,
	double x
)

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 Legendre polynomial of increasing orders starting from zero evaluated at x.

Exceptions

ArgumentOutOfRangeException

length is less than zero.

LegendrePSequence(Int32, Double, Vector<Double>)

Evaluates a sequence of Legendre polynomials of increasing degree starting at the specified degree and returns the result in the specified vector.
C# 
public static Vector<double> LegendrePSequence(
	int length,
	double x,
	Vector<double> result
)

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 Legendre polynomial of increasing orders starting from zero evaluated at x.

Exceptions

ArgumentOutOfRangeException

length is less than zero.

LegendrePSequence(Int32, Int32, Double)

Evaluates a sequence of Legendre polynomials of increasing degree starting at the specified degree.
C# 
public static Vector<double> LegendrePSequence(
	int startDegree,
	int length,
	double x
)

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 Legendre polynomial of increasing orders starting from startDegree evaluated at x.

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

-or-

length is less than zero.

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

Evaluates a sequence of Legendre polynomials of increasing degree starting at the specified degree and returns the result in the specified vector.
C# 
public static Vector<double> LegendrePSequence(
	int startDegree,
	int length,
	double x,
	Vector<double> result
)

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 Legendre polynomial of increasing orders starting from startDegree evaluated at x.

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

-or-

length is less than zero.

See Also