scipy.special.airye

scipy.special.airye(z) = <ufunc 'airye'>

Exponentially scaled Airy functions and their derivatives.

Scaling:

eAi  = Ai  * exp(2.0/3.0*z*sqrt(z))
eAip = Aip * exp(2.0/3.0*z*sqrt(z))
eBi  = Bi  * exp(-abs(2.0/3.0*(z*sqrt(z)).real))
eBip = Bip * exp(-abs(2.0/3.0*(z*sqrt(z)).real))

Parameters

zarray_like

Real or complex argument.

Returns

eAi, eAip, eBi, eBiparray_like

Airy functions Ai and Bi, and their derivatives Aip and Bip

See also

airy

Notes

Wrapper for the AMOS [1] routines zairy and zbiry.

References

1(1,2)

Donald E. Amos, “AMOS, A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order”, http://netlib.org/amos/