Asymptotics and zero behaviour of geometric polynomials
Classical Analysis and ODEs
2026-04-30 v2 Combinatorics
Number Theory
Abstract
We obtain some results on the asymptotic behaviour of Geometric polynomials in both the complex plane minus and the interval . We also find the distance of consecutive zeros of these polynomials in the bulk of the interval . We also prove that they satisfy certain orthogonality properties. Due to their relationship with Eulerian polynomials, the results for Geometric polynomials can be transferred to Eulerian polynomials verbatim.
Cite
@article{arxiv.2602.15718,
title = {Asymptotics and zero behaviour of geometric polynomials},
author = {M. Bello-Hernández and M. Benito and Ó. Ciaurri and E. Fernández},
journal= {arXiv preprint arXiv:2602.15718},
year = {2026}
}
Comments
17 pages