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math.CO2016
Generating functions for purely crossing partitions
Kenneth J. Dykema
The generating function for the number of purely crossing partitions of {1,...,n} is found in terms of the generating function for Bell numbers. Further results about generating fu…
math.CO2002★ 2 cited
Generating functions for moments of the quasi-nilpotent DT-operator
Ken Dykema, Catherine Yan
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…