Horizontal and Vertical Log-Concavity
Combinatorics
2021-02-04 v2 Number Theory
Abstract
Horizontal and vertical generating functions and recursion relations have been investigated by Comtet for triangular double sequences. In this paper we investigate the horizontal and vertical log-concavity of triangular sequences assigned to polynomials which show up in combinatorics, number theory and physics. This includes Laguerre polynomials, the Pochhammer polynomials, the D'Arcais and Nekrasov--Okounkov polynomials.
Cite
@article{arxiv.2010.05231,
title = {Horizontal and Vertical Log-Concavity},
author = {Bernhard Heim and Markus Neuhauser},
journal= {arXiv preprint arXiv:2010.05231},
year = {2021}
}
Comments
To appear in the Research in Number Theory