Systems of orthogonal polynomials defined by hypergeometric type equations

Details Systems of orthogonal polynomials defined by hypergeometric type equations Systems of orthogonal polynomials defined by hypergeometric type equations

2004-10-25

arxiv.org/abs/math-ph/0410050v1

Physics

Mathematical Physics

10 pages

Scientific paper

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.

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