## Transformations and contiguity relations for Gelfand's hypergeometric functions

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

Horikawa, Eiji
Transformations and contiguity relations for Gelfand's hypergeometric functions
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.