A LIMIT q = −1 FOR THE BIG q-JACOBI POLYNOMIALS

  • LUC VINET
  • Published 2012
We study a new family of “classical” orthogonal polynomials, here called big −1 Jacobi polynomials, which satisfy (apart from a 3-term recurrence relation) an eigenvalue problem with differential operators of Dunkl type. These polynomials can be obtained from the big q-Jacobi polynomials in the limit q → −1. An explicit expression of these polynomials in… CONTINUE READING