David A. Cardon

activity

20062019

most citedComplex zero strip decreasing operators

4 citations · 7 across the 7 of their papers we have counts for

collaborators

8 papers

math.CV2019

Interlacing Properties of Coefficient Polynomials in Differential Operator Representations of Real-Root Preserving Linear Transformations

David A. Cardon, Evan L. Sorensen, Jason C. White

We study linear transformations $T : R [x] \to R [x]$ of the form $T [x^{n}] = P_{n} (x)$ where ${P_{n} (x)}$ is a real orthogonal polynomial system. Such transformatio…

math.CV2018

On Zero-Sector Reducing Operators

David A. Cardon, Tamás Forgács, Andrzej Piotrowski +2

We prove a Jensen-disc type theorem for polynomials $p \in R [z]$ having all their zeros in a sector of the complex plane. This result is then used to prove the existence of…

math.CV2017

Real-Root Preserving Differential Operator Representations of Orthogonal Polynomials

David A. Cardon, Evan L. Sorensen, Jason C. White

In this paper, we study linear transformations of the form $T [x^{n}] = P_{n} (x)$ where ${P_{n} (x)}$ is an orthogonal polynomial system. Of particular interest is understanding when these…

math.CV2014★ 4 cited

Complex zero strip decreasing operators

David A. Cardon

In this paper we study the effect of linear differential operators coming from the Laguerre-Polya class that act on functions in the extended Laguerre-Polya class with zeros in a h…

math.CO2011★ 2 cited

Nonnegative minors of minor matrices

David A. Cardon, Pace P. Nielsen

Using the relationship between totally nonnegative matrices and directed acyclic weighted planar networks, we show that $2 \times 2$ minors of minor matrices of totally nonnegative…

math.CV2009★ 1 cited

Extended Laguerre inequalities and a criterion for real zeros

David A. Cardon

Let $f (z) = e^{- b z^{2}} f_{1} (z)$ where $b \geq 0$ and $f_{1} (z)$ is a real entire function of genus 0 or 1. We give a necessary and sufficient condition in terms of a sequence of inequalit…