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A complex Airy integral

Published online by Cambridge University Press:  22 January 2016

Tomio Kubota
Tomio Kubota*
Affiliation:
Department of Mathematics, Nagoya University and Department of Mathematics, University of Maryland
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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.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 61 , July 1976 , pp. 113 - 116
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