2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132363Formulae of Berezin and Karpelevic 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 system of type $BC_n$ under condition that the multiplicity of the middle roots is zero or one.Representation TheoryQuantum Algebra33C67text