Volume 24, pp. 45-54, 2006.

Systems of orthogonal polynomials defined by hypergeometric type equations

Nicolae Cotfas

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. This general formalism allows us to extend some known results to a larger class of functions.

Full Text (PDF) [189 KB]

Key words

orthogonal polynomials, associated special functions, raising operator, lowering operator, special functions

AMS subject classifications

33C45, 81R05, 81R30

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