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

abstract

• 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.

authors

• Dykema, Kenneth
• Yan, Catherine

published proceedings

• Advances in Applied Mathematics

author list (cited authors)

• Dykema, K., & Yan, C.

complete list of authors

• Dykema, Ken||Yan, Catherine

publisher

• Elsevier  Publisher

published in

• Advances in Applied Mathematics  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1016/s0196-8858(02)00510-9

start page

• 545

end page

• 561

volume

• 30

issue

• 3