Abstract by Brevan Ellefsen
Operators Preserving Zeros in a Sector
We present a conjectured classification for all linear operators which are automorphisms of certain classes of polynomials whose zeros lie in a sector. This extends the work of Brändén and Borcea in their goal to classify linear operators preserving classes of functions whose zeros lie in a region. Results and numerical evidence related to this classification will be discussed. The related problem of classifying operators which reduce a sector will also be discussed, along with a conjectured variation of a known result which would help to generate such operators.