Generating functions for moments of the quasi-nilpotent DT-operator
Combinatorics
2007-05-23 v1 Operator Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.math/0205089,
title = {Generating functions for moments of the quasi-nilpotent DT-operator},
author = {Ken Dykema and Catherine Yan},
journal= {arXiv preprint arXiv:math/0205089},
year = {2007}
}
Comments
16 pages