Rational extensions of solvable potentials and exceptional orthogonal polynomials

We present a generalized SUSY QM partnership in which he DBT are built on the excited states Riccati-Schrodinger (RS) functions regularized via specific discrete symmetries of translationally shape invariant potentials. Applied to the isotonic oscillator, this scheme allows to generate the solvable rational extensions the spectrum of which is associated to the recently discovered exceptional Laguerre polynomials