2 papers
math.CV2018
On Zero-Sector Reducing Operators
David A. Cardon, Tamás Forgács, Andrzej Piotrowski +2
We prove a Jensen-disc type theorem for polynomials 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 where is an orthogonal polynomial system. Of particular interest is understanding when these…