Coefficientwise total positivity of some matrices defined by linear recurrences
Combinatorics
2021-12-09 v1
Abstract
We exhibit a lower-triangular matrix of polynomials in six indeterminates that appears empirically to be coefficientwise totally positive, and which includes as a special case the Eulerian triangle. We prove the coefficientwise total positivity of , which includes the reversed Stirling subset triangle.
Cite
@article{arxiv.2012.03629,
title = {Coefficientwise total positivity of some matrices defined by linear recurrences},
author = {Xi Chen and Bishal Deb and Alexander Dyachenko and Tomack Gilmore and Alan D. Sokal},
journal= {arXiv preprint arXiv:2012.03629},
year = {2021}
}
Comments
LaTeX2e, 12 pages with 2 figures: extended abstract submitted to FPSAC 2021