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Asymptotic expansions of generalized Airy functions. (Spanish. English summary) Zbl 0588.33006

The author studies asymptotic expansions for the solutions of the generalized Airy equation \[ y^{(n)}(\lambda)-\lambda y(\lambda)=0 \] and gives numerical values in the case \(n=3\). The results are obtained using the steepest descents and Laplace methods.
Reviewer: A.Laforgia

MSC:

33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\)
65D20 Computation of special functions and constants, construction of tables
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
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