Two Fortran 77 routines for the evaluation of Airy functions of complex arguments $Ai(z)$, $Bi(z)$ and their first derivatives are presented. The routines are based on the use of Gaussian quadrature, Maclaurin series and asymptotic expansions. Comparison with a previous code by D.E. Amos (ACM Trans. Math. Soft. 12 (1986)) is provided.

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Modelling, Analysis and Simulation [MAS]
Computational Dynamics

Gil, A., Segura, J., & Temme, N. (2002). AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions. Modelling, Analysis and Simulation [MAS]. CWI.