## AIZ

swMATH ID: | 4660 |

Software Authors: | Gil, Amparo; Segura, Javier; Temme, Nico M. |

Description: | Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions 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 is provided. |

Homepage: | http://dl.acm.org/citation.cfm?id=569150 |

Related Software: | BIZ; Algorithm 838; Algorithm 644; Algorithm 831; Algorithm 850; Algorithm 822; Maple; DLMF; Mathematica; IBESS JBESS; Algorithm 914; FastGaussQuadrature; libcwfn; NumExp; Cephes; Matlab; CONHYP; FGH; Algorithm 858; NSWC |

Referenced in: | 14 Publications |

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top 5

### Referenced by 15 Authors

### Referenced in 5 Serials

8 | ACM Transactions on Mathematical Software |

2 | Numerical Algorithms |

1 | Computer Physics Communications |

1 | IMA Journal of Numerical Analysis |

1 | Constructive Approximation |

### Referenced in 5 Fields

12 | Special functions (33-XX) |

11 | Numerical analysis (65-XX) |

2 | Approximations and expansions (41-XX) |

1 | Ordinary differential equations (34-XX) |

1 | Quantum theory (81-XX) |