SpecialFunctionsAiry Method

The Airy and Bairy functions are the two solutions of the differential equation

y''(x) = xy

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

C++

Copy

public static double Airy(
	double x,
	out double ai,
	out double dai,
	out double bi,
	out double dbi
)

Public Shared Function Airy ( 
	x As Double,
	<OutAttribute> ByRef ai As Double,
	<OutAttribute> ByRef dai As Double,
	<OutAttribute> ByRef bi As Double,
	<OutAttribute> ByRef dbi As Double
) As Double

public:
static double Airy(
	double x, 
	[OutAttribute] double% ai, 
	[OutAttribute] double% dai, 
	[OutAttribute] double% bi, 
	[OutAttribute] double% dbi
)

static member Airy : 
        x : float * 
        ai : float byref * 
        dai : float byref * 
        bi : float byref * 
        dbi : float byref -> float

Parameters

x Double: A real number less than 103.892.
ai Double: Airy function Ai(x).
dai Double: The first derivative of Ai(x).
bi Double: The Airy function Bi(x).
dbi Double: The first derivative of Bi(x).

Return Value

Double
Both independent solutions, Ai(x) and Bi(x), and their first derivatives, of the differential equation y''(x) - xy = 0.

Exceptions

Exception	Condition
ArgumentOutOfRangeException	The argument x is restricted to x <= 103.892.

Reference

SpecialFunctions Class

CenterSpace.NMath.Core Namespace