J. White

activity

20172019

collaborators

3 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…