The Symmetrical $H_{q}$-Semiclassical Orthogonal Polynomials of Class One
Classical Analysis and ODEs
2009-07-23 v1
Abstract
We investigate the quadratic decomposition and duality to classify symmetrical -semiclassical orthogonal -polynomials of class one where is the Hahn's operator. For any canonical situation, the recurrence coefficients, the -analog of the distributional equation of Pearson type, the moments and integral or discrete representations are given.
Keywords
Cite
@article{arxiv.0907.3851,
title = {The Symmetrical $H_{q}$-Semiclassical Orthogonal Polynomials of Class One},
author = {Abdallah Ghressi and Lotfi Khériji},
journal= {arXiv preprint arXiv:0907.3851},
year = {2009}
}