2 citations · 2 across the 4 of their papers we have counts for
4 papers
On minimal Rolle's domains for complex polynomials
Michael J. Miller
Define a subset of the complex plane to be a Rolle's domain if it contains (at least) one critical point of every complex polynomial P such that P(-1)=P(1). Define a Rolle's domain…
Unexpected local extrema for the Sendov conjecture
Michael J. Miller
Let S(n) be the set of all polynomials of degree n with all roots in the unit disk, and define d(P) to be the maximum of the distances from each of the roots of a polynomial P to t…
The best possible quadratic refinement of Sendov's conjecture
Michael Miller
A conjecture of Sendov states that if a polynomial has all its roots in the unit disk and if is one of those roots, then within one unit of lies a root of the polynomial's…
A quadratic approximation to the Sendov radius near the unit circle
Michael Miller
Define to be the set of complex polynomials of degree with all roots in the unit disk and at least one root at . For a polynomial , define to be th…