English

A formula for the hypergeometric function of type $BC_n$

Representation Theory 2007-06-26 v1 Quantum Algebra

Abstract

Formulae 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 BCnBC_n under condition that the multiplicity of the middle roots is zero or one.

Keywords

Cite

@article{arxiv.0706.3555,
  title  = {A formula for the hypergeometric function of type $BC_n$},
  author = {Nobukazu shimeno},
  journal= {arXiv preprint arXiv:0706.3555},
  year   = {2007}
}
R2 v1 2026-06-21T08:41:40.066Z