Ken Dykema, Catherine Yan
Published 2002-05-08Version 1
We prove a recursion formula for generating functions of certain renormalizations of *-moments of the DT(\delta_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.
Enumerative $g$-theorems for the Veronese construction for formal power series and graded algebras
Generating functions attached to some infinite matrices
Characterizations of Some Class of Formal Power Series via MÖbius Categories of Full Binomial Type
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