Finster, Felix and Smoller, Joel (2014) ABSENCE OF ZEROS AND ASYMPTOTIC ERROR ESTIMATES FOR AIRY AND PARABOLIC CYLINDER FUNCTIONS. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 12 (1). pp. 175-200. ISSN 1539-6746,
Full text not available from this repository. (Request a copy)Abstract
We derive WKB approximations for a class of Airy and parabolic cylinder functions in the complex plane, including quantitative error bounds. We prove that all zeros of the Airy function lie on a ray in the complex plane, and that the parabolic cylinder functions have no zeros. We also analyze the Airy and Airy-WKB limit of the parabolic cylinder functions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PERTURBATIONS; Airy functions; parabolic cylinder functions; asymptotic error estimates |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 Dec 2019 09:18 |
| Last Modified: | 04 Dec 2019 09:18 |
| URI: | https://pred.uni-regensburg.de/id/eprint/11148 |
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