Special.LegendrePSequence Method

Definition

Namespace: Numerics.NET
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3

Overload List

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

Evaluates a sequence of Legendre polynomials of increasing degree and returns the result in the specified span.
C#
public static void LegendrePSequence(
	double x,
	Span<double> result
)

Parameters

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

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 = null
)

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

Exceptions

ArgumentOutOfRangeException

length is less than zero.

LegendrePSequence(Int32, Double, Span<Double>)

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

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.

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 = null
)

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 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