Abstract
In this paper, Carlitz’s $q$-operator and the auxiliary ones are applied to prove $q$-Christoffel-Darboux formulas and some Carlitz type generating functions. In addition, the technique of exponential operator decomposition to deduce $q$-Mehler’s formulas for Rogers-Szego and Hahn polynomials are shown.
Citation
Jian Cao. "Notes On Carlitz's q-Operators." Taiwanese J. Math. 14 (6) 2229 - 2244, 2010. https://doi.org/10.11650/twjm/1500406072
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