The one-quasihole wavefunctions and their norms are derived for the system of particles on the line with inverse-square interactions and harmonic confining potential.
@article{arxiv.cond-mat/9603132,
title = {Quasihole wavefunctions for the Calogero model},
author = {A. P. Polychronakos},
journal= {arXiv preprint arXiv:cond-mat/9603132},
year = {2015}
}