AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions

Gil, Amparo; Segura, Javier; Temme, Nico

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.

Additional Metadata
MSC	Bessel and Airy functions, cylinder functions, ${}_0F_1$ (msc 33C10), Computation of special functions, construction of tables (msc 65D20), Quadrature and cubature formulas (msc 65D32), Approximation in the complex domain (msc 30E10)
Publisher	CWI
Series	Modelling, Analysis and Simulation [MAS]
Organisation	Computational Dynamics
Citation APA Style AAA Style APA Style Cell Style Chicago Style Harvard Style IEEE Style MLA Style Nature Style Vancouver Style American-Institute-of-Physics Style Council-of-Science-Editors Style BibTex Format Endnote Format RIS Format CSL Format DOIs only Format	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.

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