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Conditionally exactly solvable potentials and exceptional orthogonal polynomials

Author:
Dutta, D.  Roy, P.  


Journal:
JOURNAL OF MATHEMATICAL PHYSICS


Issue Date:
2010


Abstract(summary):

It is shown that polynomials associated with solutions of certain conditionally exactly solvable potentials obtained via unbroken as well as broken supersymmetry belong to the category of exceptional orthogonal polynomials. Some properties of such polynomials, e.g., recurrence relation, ladder operators, differential equations, etc., have been obtained. (C) 2010 American Institute of Physics. [doi:10.1063/1.3339676]


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