Generating functions for moments of the quasi-nilpotent DT-operator Academic Article uri icon


  • We prove a recursion formula for generating functions of certain renormalizations of *-moments of the DT(0, 1 -operator T, involving an operation on formal power series and a transformation E that converts 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. 2003 Elsevier Science (USA). All rights reserved.

published proceedings

  • Advances in Applied Mathematics

author list (cited authors)

  • Dykema, K., & Yan, C.

citation count

  • 0

complete list of authors

  • Dykema, Ken||Yan, Catherine

publication date

  • January 2003