Séminaire Lotharingien de Combinatoire, 85B.30 (2021), 12 pp.
Xi Chen, Bishal Deb, Alexander Dyachenko, Tomack Gilmore and Alan D. Sokal
Coefficientwise Total Positivity of Some Matrices Defined by Linear Recurrences
We exhibit a lower-triangular matrix of polynomials T(a,c,d,e,f,g)
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 T(a,c,0,e,0,0),
which includes the reversed Stirling subset triangle.
Received: December 1, 2020.
Accepted: March 1, 2021.
Final version: April 29, 2021.
The following versions are available: