4 papers
Weyl group action on Radon hypergeometric function and its symmetry
Hironobu Kimura
For positive integers , we consider the Radon hypergeometric function (Radon HGF) associated with a partition of defined on the Grassmannian for $r<m<…
Capelli identity and contiguity relations of Radon hypergeometric function on the Grassmannian
Hironobu Kimura
The Radon hypergeometric function (Radon HGF) F(z;\a) of type Åon the Grassmannian Gr(m,N), N=rn for some integers r,n>0, is defined as a Radon transform of the character of the u…
On Radon hypergeometric functions on the Grassmannian manifold
Hironobu Kimura
We give a definition of Radon hypergeometric function (Radon HGF) of confluent and nonconfluent type, which is a function on the Grassmannian Gr(m,nr) obtained as a Radon transform…
On the exterior power structure of the cohomology groups for the general hypergeometric integral
Hironobu Kimura
In this article we study the exterior power structure of the algebraic de Rham cohomology group associated with the Gelfand hypergeometric function and its confluent family. The hy…