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Member of the advanced class.

Syntax

y = airy(x)

y = airy(kind, x)

[y, error] = airy(x)

[y, error] = airy(kind, x)

Description

Computes the Airy functions Ai and Bi as well as their derivatives.

Details

Examples

Inputs

Name	Description
x	Specifies a real or complex scalar, vector, or matrix.
kind	Specifies the kind of Airy function to evaluate. kind is an integer that accepts the following values. 0 Computes the Airy function of the first kind, Ai(x). 1 Computes the derivative of the Airy function of the first kind, Ai'(x). 2 Computes the Airy function of the second kind, Bi(x). 3 Computes the derivative of the Airy function of the second kind, Bi'(x).

Outputs

Name	Description
y	Returns an Airy function or the derivative of an Airy function. y is a matrix of the same size as x.
error	Returns error information about the evaluation of the Airy functions. error is an integer that can return the following values. 0 Indicates that no error occurred. 1 Indicates that you specified invalid inputs. 2 Indicates that the result is too large for the data type of y. 3 Indicates that LabVIEW achieved less than half the machine accuracy in the calculation because |x| is greater than approximately 1.3E8. 4 Indicates that the result is meaningless because |x| is greater than approximately 1.8E16. 5 Indicates that the calculation did not reach the termination condition so LabVIEW did not complete the calculation.

Details

Ai(x) and Bi(x) solve the following equation: w'' - x*w = 0.
LabVIEW computes Ai(x) using the following equation: Ai(x) = sqrt(x/3)*besselk(1/3, (2*sqrt(x)³)/3). LabVIEW computes Bi(x) using a similar equation.

Examples

X = [0:0.01:2];
AI = airy(X);
plot(X, AI)

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