2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64020We prove a recursion formula for generating functions of certain renormalizations of *-moments of the DT(δ_0,1)-operator T, involving an operation \odot on formal power series and a transformation E that converts \odot to usual multiplication. This recursion formula is used to prove that all of these generating functions are rational functions, and to find a few of them explicitly.16 pagesCombinatoricsOperator AlgebrasGenerating functions for moments of the quasi-nilpotent DT-operatortext