Probabilistic aspects of Al-Salam-Chihara polynomials
Classical Analysis and ODEs
2007-05-23 v3
Abstract
We solve the connection coefficient problem between the Al-Salam-Chihara polynomials and the q-Hermite polynomials, and we use the resulting identity to answer a question from probability theory. We also derive the distribution of some Al-Salam-Chihara polynomials, and compute determinants of related Hankel matrices.
Cite
@article{arxiv.math/0304155,
title = {Probabilistic aspects of Al-Salam-Chihara polynomials},
author = {Wlodzimierz Bryc and Wojciech Matysiak and Pawel J. Szablowski},
journal= {arXiv preprint arXiv:math/0304155},
year = {2007}
}
Comments
LaTeX, 8 pages