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A formula for the
hypergeometric function of type BCn
Nobukazu Shimeno |
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Vol. 236 (2008), No. 1, 105–118
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Abstract |
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Formulae of Berezin and Karpelevič for the radial parts of invariant differential operators and the spherical function on a complex Grassmann manifold are generalized to the hypergeometric functions associated with root systems of type BCn under the condition that the multiplicity of the middle roots is zero or one. |
Keywords
hypergeometric function, Berezin, Karpelevic, Heckman,
Opdam, determinant
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Mathematical Subject Classification 2000
Primary: 33C67
Secondary: 43A90
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Milestones
Received: 24 June 2007
Revised: 19 December 2007
Accepted: 21 December 2007
Published: 1 May 2008
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Authors |
| Nobukazu Shimeno | |
| Department of Applied
Mathematics Okayama University of Science Okayama 700-0005 Japan |
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