%0 Journal Article %A Gómez-Ullate Otaiza, David %A Grandati, Yves %A Milson, Robert %T Extended Krein-Adler theorem for the translationally shape invariant potentials %D 2014 %@ 0022-2488 %U https://hdl.handle.net/20.500.14352/34706 %X 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-Backlund transformations. It allows us to establish novel bi-linear Wronskian and determinantal identities for classical orthogonal polynomials. %~