The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
  We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra $gl_N$. The main ingredient is a special class of the shifted non-symmetric Jack polynomials. It may be regarded as a shifted version of the singular polynomials studied by Dunkl. We prove that our solutions contain those obtained as a scaling limit of matrix elements of the vertex operators of level one. 
Saburo Kakei, Michitomo Nishizawa, Yoshihisa Saito and Yoshihiro   Takeyama