Chen, Xi;
Deb, Bishal;
Dyachenko, Alexander;
Gilmore, Tomack;
Sokal, Alan D;
(2021)
Coefficientwise Total Positivity of Some Matrices Defined by Linear Recurrences.
Séminaire Lotharingien de Combinatoire
, 85B
, Article 30.
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | Coefficientwise Total Positivity of Some Matrices Defined by Linear Recurrences |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | https://www.mat.univie.ac.at/~slc/wpapers/FPSAC202... |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | math.CO, math.CO, 05A19 (Primary), 05A18, 05A20, 15B48 (Secondary) |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10144796 |
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