%0 Journal Article
%T Another set of infinitely many exceptional (X_{\ell}) Laguerre polynomials
%A Satoru Odake
%A Ryu Sasaki
%J Physics
%D 2009
%I arXiv
%R 10.1016/j.physletb.2009.12.062
%X We present a new set of infinitely many shape invariant potentials and the corresponding exceptional (X_{\ell}) Laguerre polynomials. They are to supplement the recently derived two sets of infinitely many shape invariant thus exactly solvable potentials in one dimensional quantum mechanics and the corresponding X_{\ell} Laguerre and Jacobi polynomials (Odake and Sasaki, Phys. Lett. B679 (2009) 414-417). The new X_{\ell} Laguerre polynomials and the potentials are obtained by a simple limiting procedure from the known X_{\ell} Jacobi polynomials and the potentials, whereas the known X_{\ell} Laguerre polynomials and the potentials are obtained in the same manner from the mirror image of the known X_{\ell} Jacobi polynomials and the potentials.
%U http://arxiv.org/abs/0911.3442v1