Ulecia Garća, María Teresa Asymptotic expansions of generalized Airy functions. (Spanish. English summary) Zbl 0588.33006 Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 78, 353-358 (1984). 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.) Keywords:generalized Airy functions; steepest descents PDFBibTeX XMLCite \textit{M. T. Ulecia Garća}, Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 78, 353--358 (1984; Zbl 0588.33006) Full Text: EuDML