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  1. 1 Cotfas N.

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Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics

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Cotfas N.
Open Physics
|
2004
|
vol. 2
|
issue 3
456-466
EN
A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. We present in a unified and explicit way all these systems of orthogonal polynomials, the associated special functions and the corresponding raising/lowering operators. The equations considered are directly related to some Schrödinger type equations (Pöschl-Teller, Scarf, Morse, etc), and the special functions defined are related to the corresponding bound-state eigenfunctions.
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