An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials
Classical Analysis and ODEs
2011-10-05 v1
Abstract
Orthogonal q-polynomials associated with q-Laguerre-Hahn form will be studied as a generalization of the q-semiclassical forms via a suitable q-difference equation. The concept of class and a criterion to determinate it will be given. The q-Riccati equation satisfied by the corresponding formal Stieltjes series is obtained. Also, the structure relation is established. Some illustrative examples are highlighted.
Keywords
Cite
@article{arxiv.1110.0580,
title = {An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials},
author = {Abdallah Ghressi and Lotfi Khériji and Mohamed Ihsen Tounsi},
journal= {arXiv preprint arXiv:1110.0580},
year = {2011}
}