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

Nicolae Cotfas
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Abstract

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 considered equations are directly related to some Schrodinger type equations (Poschl-Teller, Scarf, Morse, etc), and the defined special functions are related to the corresponding bound-state eigenfunctions.

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Nicolae Cotfas. 2006-02-14. Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics. https://doi.org/10.2478/bf02476425

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