AdvancedMathAiry Method

public static SolutionPair Airy(
	double x
)

Public Shared Function Airy ( 
	x As Double
) As SolutionPair

public:
static SolutionPair Airy(
	double x
)

static member Airy : 
        x : float -> SolutionPair 

Parameters

x

Type: SystemDouble
The argument.

Return Value

Airy functions are solutions to the Airy differential equation:

The Airy functions appear in quantum mechanics in the semi-classical WKB solution to the wave functions in a potential.

For negative arguments, Ai(x) and Bi(x) are oscillatory. For positive arguments, Ai(x) decreases exponentially and Bi(x) increases exponentially with increasing x.

This method simultaneously computes both Airy functions and their derivatives. If you need both Ai and Bi, it is faster to call this method once than to call AiryAi(Double) and AiryBi(Double) separately. If on, the other hand, you need only Ai or only Bi, and no derivative values, it is faster to call the appropriate method to compute the one you need.

Reference

Other Resources