Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum Transformations

Ryu Sasaki, Satoshi Tsujimoto, Alexei Zhedanov

Simple derivation is presented of the four families of infinitely many shape invariant Hamiltonians corresponding to the exceptional Laguerre and Jacobi polynomials. Darboux-Crum t…