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Generating functions for moments of the quasi-nilpotent DT-operator

Ken Dykema·Catherine Yan
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Abstract

We 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.

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Ken Dykema, Catherine Yan. 2002-05-08. Generating functions for moments of the quasi-nilpotent DT-operator. https://arxiv.org/abs/math/0205089

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