Compute Airy functions of the first and second kind, and their derivatives.
K Function Scale factor (if 'opt' is supplied) --- -------- --------------------------------------- 0 Ai (Z) exp ((2/3) * Z * sqrt (Z)) 1 dAi(Z)/dZ exp ((2/3) * Z * sqrt (Z)) 2 Bi (Z) exp (-abs (real ((2/3) * Z *sqrt (Z)))) 3 dBi(Z)/dZ exp (-abs (real ((2/3) * Z *sqrt (Z))))The function call
airy (
z)
is equivalent toairy (0,
z)
.The result is the same size as z.
If requested, ierr contains the following status information and is the same size as the result.
- Normal return.
- Input error, return
NaN
.- Overflow, return
Inf
.- Loss of significance by argument reduction results in less than half of machine accuracy.
- Complete loss of significance by argument reduction, return
NaN
.- Error—no computation, algorithm termination condition not met, return
NaN
.