Generalized $q$-Stirling numbers and normal ordering

Roberto B. Corcino, Ken Joffaniel M. Gonzales, Richell O. Celeste

The normal ordering coefficients of strings consisting of $V,U$ which satisfy $UV=qVU+h{V}^s$ ($s\in \mathbb{N}$) are considered. These coefficients are studied in two contexts: first,…