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F-Equation Fourier Transforms

Published online by Cambridge University Press:  20 November 2018

G. F. D. Duff
G. F. D. Duff*
Affiliation:
Princeton University
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For solutions of the differential difference 'F-equation

1

there are representations as a generating series [5],

2

and as a contour integral [3],

3

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 4 , 1952 , pp. 248 - 256
Copyright
Copyright © Canadian Mathematical Society 1952

References

1. Bochner, S., Vorlesungen Über Four 1erintegrale (Leipzig, 1932).Google Scholar
2. Campbell, G. A. and Foster, R. M., Fourier integrals for practical application (New York, 1931).Google Scholar
3. Duff, G. F. D.,A composition theorem for TruesdelVs equation, Comptes Rendus, vol. 229 (1949), 1195–1197.Google Scholar
4. Titchmarsh, E. C., Theory of Fourier integrals (Oxford, 1937).Google Scholar
5. Truesdell, C. A., A unified theory of special functions, Ann. Math. Studies, no. 18 (Princeton, 1948).Google Scholar