Year: 2016
Type: preprint
Abstract: The Rogers-Szegö polynomials are natural q-analogues of Newton binomials. In general they have no closed expression. We consider some exceptional cases which are products of a factor with a closed formula and another one with nice values for q=1 and q=-1. These are related to normalized Rogers-Szegö polynomials which have nice expansions and Hankel determinants. The Exposition of the paper is elementary and almost self-contained.
Source: arXiv (Cornell University)
Author: Cigler, Johann
Institution: University of Vienna
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2276937684