AdvancedMathBessel Method

public static SolutionPair Bessel(
	double nu,
	double x
)

Public Shared Function Bessel ( 
	nu As Double,
	x As Double
) As SolutionPair

public:
static SolutionPair Bessel(
	double nu, 
	double x
)

static member Bessel : 
        nu : float * 
        x : float -> SolutionPair 

Parameters

nu

Type: SystemDouble
The order, which must be non-negative.

x

Type: SystemDouble
The argument, which must be non-negative.

Return Value

Bessel functions often occur in the analysis of physical phenomena with cylindrical symmetry. They satisfy the differential equation:

Since this is a second order linear equation, it has two linearly independent solutions. The regular Bessel function J_ν(x), which is finite at the origin, and the irregular Bessel function Y_ν(x), which diverges at the origin. Far from the origin, both functions are oscilatory.

This method simultaneously computes both Bessel functions and their derivatives. If you need both J and Y, it is faster to call this method once than to call BesselJ(Double, Double) and BesselY(Double, Double) seperately. If on, the other hand, you need only J or only Y, it is faster to call the appropriate method to compute the one you need.

Reference

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