The fourth order difference equation for the Laguerre-Hahn polynomials orthogonal on special non-uniform lattices

Authors
Bangerezako, G
Citation
G. Bangerezako, The fourth order difference equation for the Laguerre-Hahn polynomials orthogonal on special non-uniform lattices, RAMANUJAN J, 5(2), 2001, pp. 167-181
Citations number
12
Categorie Soggetti
Mathematics
Journal title
RAMANUJAN JOURNAL
ISSN journal
13824090 → ACNP
Volume
5
Issue
2
Year of publication
2001
Pages
167 - 181
Database
ISI
SICI code
1382-4090(2001)5:2<167:TFODEF>2.0.ZU;2-8
Abstract
We firstly establish the fourth order difference equation satisfied by the Laguerre-Hahn polynomials orthogonal on special non-uniform lattices in gen eral case, secondly give it explicitly for the cases of polynomials r-assoc iated to the classical polynomials orthogonal on linear, q-linear and q-non linear (Askey-Wilson) lattices, and thirdly give it "semi-explicitly" for t he class one Laguerre-Hahn polynomials orthogonal on linear lattice.