Transformations and contiguity relations for Gelfand's hypergeometric functions

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J. Math. Sci. Univ. Tokyo
Vol. 1 (1994), No. 1, Page 181--203.

Horikawa, Eiji
Transformations and contiguity relations for Gelfand's hypergeometric functions
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Abstract:
The contiguity relations and transformation fromulae are studied for the hypergeometric functions on the Grassmannian. They are clarified by the action of Lie algebra of GL$(n)$ and generalize the classical results for Gauss' hypergeometric function.

Mathematics Subject Classification (1991): Primary 33D80; Secondary 33C70

Mathematical Reviews Number: MR1298543

Received: 1993-09-29

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