A generalization of the Airy integral for

Authors:
Gary G. Gundersen and Enid M. Steinbart

Journal:
Trans. Amer. Math. Soc. **337** (1993), 737-755

MSC:
Primary 34A20; Secondary 30D35, 33E30

DOI:
https://doi.org/10.1090/S0002-9947-1993-1149123-3

MathSciNet review:
1149123

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Abstract | References | Similar Articles | Additional Information

Abstract: It is well known that the Airy integral is a solution of the Airy differential equation and that the Airy integral is a contour integral function with special properties. We show that there exist analogous special contour integral solutions of the more general equation where is any positive integer. Related results are given.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1993-1149123-3

Keywords:
Airy differential equation,
Airy integral,
linear differential equation,
contour integral solution

Article copyright:
© Copyright 1993
American Mathematical Society