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

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

2002-05-08

arxiv.org/abs/math/0205089v1

Mathematics

Combinatorics

16 pages

Scientific paper

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.

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