Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions

Authors:
Amparo Gil;Javier Segura;Nico M. Temme
Affiliations:
U. Autónoma de Madrid, Madrid, Spain;U. Carlos III de Madrid, Legan´es, Madrid, Spain;CWI, Amsterdam, The Netherlands
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
2002

Citing 1
Cited 8

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Abstract

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 [1986] is provided.