Special.Gegenbauer CSequence Method
Definition
Namespace: Numerics.NET
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Overload List
Gegenbauer | Evaluates a sequence of Gegenbauer polynomials of increasing degree and returns the result in the specified vector. |
Gegenbauer | Evaluates a sequence of Gegenbauer polynomials of increasing degree starting at the specified degree and returns the result in the specified vector. |
Gegenbauer | Evaluates a sequence of Gegenbauer polynomials of increasing degree starting at the specified degree and returns the result in the specified vector. |
Gegenbauer | Evaluates a sequence of Gegenbauer polynomials of increasing degree starting at the specified degree and returns the result in the specified vector. |
GegenbauerCSequence(Double, Double, Span<Double>)
Evaluates a sequence of Gegenbauer polynomials of increasing degree
and returns the result in the specified vector.
public static void GegenbauerCSequence(
double alpha,
double x,
Span<double> result
)
Parameters
GegenbauerCSequence(Int32, Double, Double, Vector<Double>)
Evaluates a sequence of Gegenbauer polynomials of increasing degree starting at the specified degree
and returns the result in the specified vector.
public static Vector<double> GegenbauerCSequence(
int length,
double alpha,
double x,
Vector<double>? result = null
)
Parameters
- length Int32
- The length of the sequence.
- alpha Double
- The parameter of the Gegenbauer 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 Gegenbauer polynomial with parameter alpha and of increasing orders starting from zero evaluated at x.
Exceptions
Argument | length is less than zero. |
GegenbauerCSequence(Int32, Double, Double, Span<Double>)
Evaluates a sequence of Gegenbauer polynomials of increasing degree starting at the specified degree
and returns the result in the specified vector.
public static void GegenbauerCSequence(
int startDegree,
double alpha,
double x,
Span<double> result
)
Parameters
Exceptions
Argument | startDegree is less than zero. |
GegenbauerCSequence(Int32, Int32, Double, Double, Vector<Double>)
Evaluates a sequence of Gegenbauer polynomials of increasing degree starting at the specified degree
and returns the result in the specified vector.
public static Vector<double> GegenbauerCSequence(
int startDegree,
int length,
double alpha,
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 parameter of the Gegenbauer 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 Gegenbauer polynomial with parameter alpha and of increasing orders starting from startDegree evaluated at x.
Exceptions
Argument | startDegree is less than zero. -or- length is less than zero. |