55 citations · 114 across the 7 of their papers we have counts for
7 papers
The Laguerre polynomials preserve real-rootedness
Steve Fisk
The linear transformation that sends to the n'th Laguerre polynomial preserves real-rootedness.
Questions about determinants and polynomials
Steve Fisk
We discuss several conjectures about the real-rootedness of polynomials whose coefficients are determinants of coefficients of a real-rooted polynomial. We also consider some quest…
Aspects of stable polynomials
Steve Fisk
This note is an introduction to the properties of stable polynomials in several variables with real or complex coefficients. These polynomials are defined in terms of where the pol…
Coloring the 600 Cell
Steve Fisk
The 600 cell S has exactly 10 5-colorings. From these colorings we can construct the space of colorings . This complex has 1344 colorings, and is isomorphic to the space of 5…
An introduction to upper half plane polynomials
Steve Fisk
This is a straightforward introduction to the properties of polynomials in many variables that do not vanish in the open upper half plane. Such polynomials generalize many of the w…
Polynomials, roots, and interlacing
Steve Fisk
This work is divided into three parts. The first part concerns polynomials in one variable with all real roots. We consider linear transformations that preserve real rootedness, as…