Journal article
On fourth-order difference equations for orthogonal polynomials of a discrete variable: Derivation, factorization and solutions



Publication Details
Authors:
Foupouagnigni, M.; Koepf, W.; Ronveaux, A.
Publication year:
2003
Journal:
Journal of Difference Equations and Applications
Pages range:
777-804
Volume number:
9
Start page:
777
End page:
804
ISSN:
1023-6198

Abstract
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 modified classical discrete orthogonal polynomials can be extended to modified semi-classical discrete orthogonal polynomials. Finally, we extend the validity of the results obtained for the associated classical discrete orthogonal polynomials with integer order of association from integers to reals.


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Last updated on 2019-01-11 at 16:05