Extended Krein-Adler theorem for the translationally shape invariant potentials
arXiv:1309.3756 · doi:10.1063/1.4871443
Abstract
Considering successive extensions of primary translationally shape invariant potentials, we enlarge the Krein-Adler theorem to mixed chains of state adding and state-deleting Darboux-Bäcklund transformations. It allows us to establish novel bilinear Wronskian and determinantal identities for classical orthogonal polynomials.
32 pages, typed in AMS-LaTeX