@article{oai:soar-ir.repo.nii.ac.jp:00011809, author = {Odake, Satoru and Sasaki, Ryu}, issue = {1}, journal = {PHYSICS LETTERS B}, month = {Nov}, note = {Two sets of infinitely many exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials are presented. They are derived as the eigenfunctions of shape invariant and thus exactly solvable quantum mechanical Hamiltonians. which are deformations of those for the Wilson and Askey-Wilson polynomials in terms of a degree l (l = 1, 2 ....) eigenpolynomial. These polynomials are exceptional in the sense that they start from degree l >= 1 and thus not constrained by any generalisation of Bochner's theorem., Article, PHYSICS LETTERS B. 682(1):130-136 (2009)}, pages = {130--136}, title = {Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials}, volume = {682}, year = {2009} }