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Zbl 1070.65510
Fabijonas, B.R.
Algorithm 838: Airy functions. (English)
[J] ACM Trans. Math. Softw. 30, No. 4, 491-501 (2004). ISSN 0098-3500

Summary: We present a Fortran 90 module, which computes the solutions and their derivatives of Airy's differential equation, both on the real line and in the complex plane. The module also computes the zeros and associated values of the solutions and their derivatives, and the modulus and phase functions on the negative real axis. The computational methods are numerical integration of the differential equation and summation of asymptotic expansions for large argument. These methods were chosen because they are simple, adaptable to any precision, and amenable to rigorous error analysis. The module can be used to validate other codes or as a component in programs that require Airy functions.

MSC 2000:: *65D20 Computation of special functions
33C10 Cylinder functions, etc.
33F05 Numerical approximation of special functions
33-04 Machine computation, programs (special functions)
65Y15 Packaged methods

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