(p,q)-Rogers-Szego polynomial and the (p,q)-oscillator
Quantum Algebra
2010-05-25 v1 Mathematical Physics
math.MP
Number Theory
Abstract
A (p,q)-analogue of the classical Rogers-Szego polynomial is defined by replacing the q-binomial coefficient in it by the (p,q)-binomial coefficient. Exactly like the Rogers-Szego polynomial is associated with the q-oscillator algebra it is found that the (p,q)-Rogers-Szego polynomial is associated with the (p,q)-oscillator algebra.
Keywords
Cite
@article{arxiv.1005.4309,
title = {(p,q)-Rogers-Szego polynomial and the (p,q)-oscillator},
author = {R. Jagannathan and R. Sridhar},
journal= {arXiv preprint arXiv:1005.4309},
year = {2010}
}
Comments
13 pages; Dedicated to the memory of Prof. Alladi Ramakrishnan; To appear in: "The Legacy of Alladi Ramakrishnan in the Mathematical Sciences'' (K. Alladi, J. Klauder, C. R. Rao, Editors) Springer, 2010