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On deformations of Hopf maps and hypergeometric series

Published online by Cambridge University Press:  22 January 2016

Takashi Ono*
Affiliation:
Department of Mathematics, The Johns Hopkins University, Baltimore, Maryland, 21218, U.S.A.
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Let Rn denote the Euclidean space of dimension n ≧> 1 with the standard inner product ‹x, y› and the norm Nx = ‹x, x›. We shall denote by dωn-i the volume element of the unit sphere normalized so that the volume of Sn-1 is 1.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

References

[ 1 ] Magnus, W. Oberhettinger, F., Soni, R. P., Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd Ed., Springer-Verlag, New York, 1966.Google Scholar
[ 2 ] Ono, T., On a generalization of Laplace integrals, Nagoya Math. J., 92 (1983), 133144.Google Scholar