rscosan.com

Paper: q-Classical orthogonal polynomial: A general difference calculus approach

SPRINGER (NETHERLANDS) | ISSN: 0167-8019 | JCR┬« 2010 Impact Factor: 0.979 - MATHEMATICS, APPLIED — position: 81/236 (Q2/T2)   title

q-Classical orthogonal polynomial: A general difference calculus approach

Costas-Santos, R. S.and Marcellan, F. Acta Applicandae Mathematicae 111 (2010), 107 — 128

Abstract

q-Classical orthogonal polynomials of the q-Hahn tableau are characterized from their orthogonality condition and by a first and a second structure relation. Unfortunately, for the q-semiclassical orthogonal polynomials (a generalization of the classical ones) we find only in the literature the first structure relation.

In this paper, a second structure relation is deduced. In particular, by means of a general finite-type relation between a q-semiclassical polynomial sequence and the sequence of its q-differences such a structure relation is obtained.

Download

Link Size Description
281 KB Preprint (PDF, 18 Pages)

BibTeX

@article {MR2653053,
AUTHOR={Costas-Santos, R. S. and Marcellan, F.},
TITLE={{$q$}-classical orthogonal polynomials: a general difference calculus approach},
JOURNAL={Acta Appl. Math.},
FJOURNAL={Acta Applicandae Mathematicae},
VOLUME={111},
YEAR={2010},
NUMBER={1},
PAGES={107--128},
ISSN={0167-8019},
MRCLASS={33C45 (33D45 39A13 42C05)},
MRNUMBER={2653053},
ZBL={1204.33011},
MRREVIEWER={Thomas Stoll},
DOI={10.1007/s10440-009-9536-z},
URL={https://doi.org/10.1007/s10440-009-9536-z},
}