Systems of orthogonal polynomials defined by hypergeometric type equations
数学物理
2007-05-23 v1 math.MP
摘要
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.
引用
@article{arxiv.math-ph/0410050,
title = {Systems of orthogonal polynomials defined by hypergeometric type equations},
author = {Nicolae Cotfas},
journal= {arXiv preprint arXiv:math-ph/0410050},
year = {2007}
}
备注
10 pages