Gómez-Ullate Otaiza, DavidGrandati, YvesMilson, Robert2023-06-192023-06-192014-040022-248810.1063/1.4871443https://hdl.handle.net/20.500.14352/34706© 2014 AIP Publishing LLC.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.engjournal articlehttp://dx.doi.org/10.1063/1.4871443http://scitation.aip.orgopen access51-73Exactly solvable potentialsExceptional orthogonal polynomialsX-L LaguerreDarboux transformationsQuantum-mechanicsSchrodinger-equationRational extensionsSupersymmetryFactorizationOperatorsFísica-Modelos matemáticosFísica matemática