(p,q)-Rogers-Szego polynomial and the (p,q)-oscillator

Details (p,q)-Rogers-Szego polynomial and the (p,q)-oscillator (p,q)-Rogers-Szego polynomial and the (p,q)-oscillator

2010-05-24

arxiv.org/abs/1005.4309v1

Mathematics

Quantum Algebra

13 pages; Dedicated to the memory of Prof. Alladi Ramakrishnan; To appear in: "The Legacy of Alladi Ramakrishnan in the Mathem

Scientific paper

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.

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