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Paper detail

Horizontal and Vertical Log-Concavity

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.

preprint2021arXivOpen access
Bernhard HeimMarkus Neuhauser
math.COmath.NT
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Bernhard HeimMarkus Neuhauser

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