Approximation of analytic functions by Airy functions. (English) Zbl 1155.34002

The author solves the inhomogeneous Airy differential equation by the power series method and applies this result to estimate the error bound occuring when any analytic function is approximated by an appropriate Airy function, i.e. a solution of the homogeneous Airy differential equation.


34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
41A30 Approximation by other special function classes
Full Text: DOI


[1] Jung S.-M., Bull. Sci. Math. (2007)
[2] Jung S.-M., Abst. Appl. Anal. 2007 (2007)
[3] Kreyszig E., Advanced Engineering Mathematics, 4. ed. (1979)
[4] Lang S., Undergraduate Analysis, 2. ed. (1997) · doi:10.1007/978-1-4757-2698-5
[5] Ross C. C., Differential Equations – An Introduction with Mathematica (1995) · Zbl 0814.65072
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.