On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions

Johann Stumpenhusen

paper

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions

arXiv:2607.14961

Abstract

A sequence $(a_{n})_{n \in N}$ of non-negative real numbers is called log-concave at $n$ if $a_{n}^{2} \geq a_{n + 1} a_{n - 1}$ . This property has been generalised in various ways to families of polynomials. We introduce a new variant and show that certain types of D'Arcais polynomials have the respective properties at certain points.

arXiv comment8 pages