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math.CO2018
Positivity of iterated sequences of polynomials
Bao-Xuan Zhu
In this paper, we present some criteria for the --log-convexity and --log-convexity of combinatorial sequences, which can be regarded as the first column of certain inf…
math.CO2018★ 5 cited
Lattice paths and branched continued fractions: An infinite sequence of generalizations of the Stieltjes--Rogers and Thron--Rogers polynomials, with coefficientwise Hankel-total positivity
Mathias Pétréolle, Alan D. Sokal, Bao-Xuan Zhu
We define an infinite sequence of generalizations, parametrized by an integer , of the Stieltjes--Rogers and Thron--Rogers polynomials; they arise as the power-series expa…