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  1. 1 Cotfas N.

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Shape-invariant hypergeometric type operators with application to quantum mechanics

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Cotfas N.
Open Physics
|
2006
|
vol. 4
|
issue 3
318-330
EN
A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. The associated special functions are eigenfunctions of some shape-invariant operators. These operators can be analysed together and the mathematical formalism we use can be extended in order to define other shape-invariant operators. All the shape-invariant operators considered are directly related to Schrödinger-type equations.
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