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math.CV2017
Connecting the q-Multiplicative Convolution and the Finite Difference Convolution
Jonathan Leake, Nick Ryder
In a recent paper, Brändén, Krasikov, and Shapiro consider root location preservation properties of finite difference operators. To this end, the authors describe a natural polynom…
math.CV2017
A Representation Theoretic Explanation of the Borcea-Brändén Characterization
Jonathan Leake
In 2009, Borcea and Brändén characterize all linear operators on multivariate polynomials which preserve the property of being non-vanishing (stable) on products of prescribed open…