Back to Search
Start Over
On the roots of polynomials with log-convex coefficients
- Source :
- Canadian Journal of Mathematics. 75:470-493
- Publication Year :
- 2022
- Publisher :
- Canadian Mathematical Society, 2022.
-
Abstract
- In this paper, we consider the family of nth degree polynomials whose coefficients form a log-convex sequence (up to binomial weights), and investigate their roots. We study, among others, the structure of the set of roots of such polynomials, showing that it is a closed convex cone in the upper half-plane, which covers its interior when n tends to infinity, and giving its precise description for every $n\in \mathbb {N}$ , $n\geq 2$ . Dual Steiner polynomials of star bodies are a particular case of them, and so we derive, as a consequence, further properties for their roots.
- Subjects :
- General Mathematics
Subjects
Details
- ISSN :
- 14964279 and 0008414X
- Volume :
- 75
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Mathematics
- Accession number :
- edsair.doi...........7b0db6bf2f8895adadde1c05e2f1e438