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

2010/05/24 by R. Jagannathan, R. Sridhar, Jagannathan, R. +1
Mathematics · Physics and Astronomy · Chemistry · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Molecular spectroscopy and chirality

paper · pdf · doi:10.48550/arxiv.1005.4309

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.

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