airy (MATLAB Function Reference)

Airy functions

Syntax

W = airy(Z) 
W = airy(k,Z) 
[W,ierr] = airy(k,Z)

Definition

The Airy functions form a pair of linearly independent solutions to:

The relationship between the Airy and modified Bessel functions is:

where

Description

W = airy(Z)

returns the Airy function, Ai(Z), for each element of the complex array Z.

W = airy(k,Z)

returns different results depending on the value of k:


k	Returns
`0`	The same result as `airy(Z)`.
`1`	The derivative, .
`2`	The Airy function of the second kind, .
`3`	The derivative, .

[W,ierr] = airy(k,Z)

also returns an array of error flags.


`ierr = 1`	Illegal arguments.
`ierr = 2`	Overflow. Return `Inf`.
`ierr = 3`	Some loss of accuracy in argument reduction.
`ierr = 4`	Unacceptable loss of accuracy, `Z` too large.
`ierr = 5`	No convergence. Return `NaN`.