Existence and Orthogonality of Generalized Jack Polynomials and Its   $q$-Deformation
  We investigate the existence and the orthogonality of the generalized Jack symmetric functions which play an important role in the AGT relations. We show their orthogonality by deforming them to the generalized Macdonald symmetric functions. 
Yusuke Ohkubo
math-ph hep-th math.MP math.QA