Factorization method and general second order linear difference equation
Mathematical Physics
2017-09-25 v1 math.MP
Abstract
This paper addresses an investigation on a factorization method for difference equations. It is proved that some classes of second order linear difference operators, acting in Hilbert spaces, can be factorized using a pair of mutually adjoint first order difference operators. These classes encompass equations of hypergeometic type describing classical orthogonal polynomials of a discrete variable.
Cite
@article{arxiv.1709.07496,
title = {Factorization method and general second order linear difference equation},
author = {Alina Dobrogowska and Mahouton Norbert Hounkonnou},
journal= {arXiv preprint arXiv:1709.07496},
year = {2017}
}