Evan L. Sorensen

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20172026

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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…