Special.JacobiPSequence Method

Definition

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

Overload List

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

JacobiPSequence(Double, Double, Double, Span<Double>)

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

Parameters

alpha  Double
The first parameter of the Jacobi polynomial.
beta  Double
The second parameter of the Jacobi polynomial.
x  Double
A real number.
result  Span<Double>
The span that is to hold the result.

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

Evaluates a sequence of Jacobi polynomials of increasing degree starting at the specified degree and returns the result in the specified vector.
C#
public static Vector<double> JacobiPSequence(
	int length,
	double alpha,
	double beta,
	double x,
	Vector<double>? result = null
)

Parameters

length  Int32
The length of the sequence.
alpha  Double
The first parameter of the Jacobi polynomial.
beta  Double
The second parameter of the Jacobi polynomial.
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 Jacobi polynomial with parameter alpha and beta and of increasing orders starting from zero evaluated at x.

Exceptions

ArgumentOutOfRangeException

length is less than zero.

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

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

Parameters

startDegree  Int32
An integer that specifies the first degree in the sequence.
alpha  Double
The first parameter of the Jacobi polynomial.
beta  Double
The second parameter of the Jacobi polynomial.
x  Double
A real number.
result  Span<Double>
The span that is to hold the result.

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

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

Evaluates a sequence of Jacobi polynomials of increasing degree starting at the specified degree and returns the result in the specified vector.
C#
public static Vector<double> JacobiPSequence(
	int startDegree,
	int length,
	double alpha,
	double beta,
	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.
alpha  Double
The first parameter of the Jacobi polynomial.
beta  Double
The second parameter of the Jacobi polynomial.
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 Jacobi polynomial with parameter alpha and beta and of increasing orders starting from startDegree evaluated at x.

Exceptions

ArgumentOutOfRangeException

startDegree is less than zero.

-or-

length is less than zero.

See Also