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math.CA2008★ 16 cited
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…
math.CA2008
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…
math.CA2007★ 1 cited
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…