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Damiani obtained a PBW basis for\n  $U^+_q$, consisting of some elements $\\lbrace E_{n\\delta+\\alpha_0}\\rbrace_{n=0}^\\infty$, $\\lbrace E_{n\\delta+\\alpha_1}\\rbrace_{n=0}^\\infty$, $\\lbrace E_{n\\delta}\\rbrace_{n=1}^\\infty$ that are defined recursively. Our goal is to describe these elements in closed form. 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