Exceptional Polynomials and SUSY Quantum Mechanics
  We show that the existence of exceptional polynomials leads to the presence of non-trivial supersymmetry. The existence of these polynomials reveals several distinct isospectral potentials for the Schr\"odinger equation. All Schr\"odinger equations having Laguerre and Jacobi polynomials as their solutions, have non-trivial supersymmetric partners with corresponding exceptional polynomials as solutions. 
K. V. S. Shiv Chaitanya, S. Sree Ranjani, Prasanta K. Panigrahi, R   Radhakrishnan and V. Srinivasan
math-ph math.MP quant-ph