Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-05T03:03:30.588Z Has data issue: false hasContentIssue false

A complex Airy integral

Published online by Cambridge University Press:  22 January 2016

Tomio Kubota*
Affiliation:
Department of Mathematics, Nagoya University and Department of Mathematics, University of Maryland
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The Airy integral is a formula concerning the Fourier transform of a function like sin x3 or cos x3, and is written, for instance in [2], as

for x ≧ 0.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1976

References

[1] Kubota, T., On a generalized Fourier transformation, to appear in J. Fac. Sci. Univ. Tokyo.Google Scholar
[2] Watson, G. N., A treatise on the theory of Bessel functions, Cambridge University Press, 1966.Google Scholar