The paper gives explicit moment-cumulant formulas and functional equations for the 1/d corrections (infinitesimal distributions) of finite-free polynomial convolutions.
Cumulants for finite free convolution
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Finite Free Convolution: Infinitesimal Distributions
The paper gives explicit moment-cumulant formulas and functional equations for the 1/d corrections (infinitesimal distributions) of finite-free polynomial convolutions.