On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable : Derivation , Factorization and Solutions

@inproceedings{FOUPOUAGNIGNIa2003OnFD,
title={On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable : Derivation , Factorization and Solutions},
author={M. FOUPOUAGNIGNIa and W. KOEPFa and A. RONVEAUXb},
year={2003}
}

M. FOUPOUAGNIGNIa, W. KOEPFa, A. RONVEAUXb

Published 2003

We derive and factorize the fourth-order difference equations satisfied by orthogonal polynomials obtained from some modifications of the recurrence coefficients of classical discrete orthogonal polynomials such as: the associated, the general co-recursive, co-recursive associated, co-dilated and the general co-modified classical orthogonal polynomials. Moreover, we find four linearly independent solutions of these fourth-order difference equations, and show how the results obtained for… CONTINUE READING

Laguerre–Hahn Orthogonal Polynomials with Respect to the Hahn Operator: Fourth-order Difference Equation for the rth Associated and the Laguerre–Freud Equations for the Recurrence Coefficients