A generalization of the Airy integral for $f”-z^ nf=0$
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- by Gary G. Gundersen and Enid M. Steinbart PDF
- Trans. Amer. Math. Soc. 337 (1993), 737-755 Request permission
Abstract:
It is well known that the Airy integral is a solution of the Airy differential equation $f'' - zf = 0$ 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 $f'' - {z^n}f = 0$ where $n$ is any positive integer. Related results are given.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- 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