airy - Airy functions

Note   In a future release, the behavior of airy will change in the following ways: airy will not accept k and Z passed as a combination of row and column vectors. airy will not accept k and Z passed as a combination of non-scalar and empty inputs.

Syntax

Definitions

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 completion flags in an array the same size as W.

ierr	Description
0	airy successfully computed the Airy function for this element.
1	Illegal arguments.
2	Overflow. Returns Inf.
3	Some loss of accuracy in argument reduction.
4	Unacceptable loss of accuracy, Z too large.
5	No convergence. Returns NaN.

References

[1] Amos, D. E., "A Subroutine Package for Bessel Functions of a Complex Argument and Nonnegative Order," Sandia National Laboratory Report, SAND85-1018, May, 1985.

[2] Amos, D. E., "A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order," Trans. Math. Software, 1986.

See Also

besseli | besselj | besselk | bessely

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