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math.CV2021★ 1 cited
A note on a harmonic measure estimate and a conjecture of J. Velling
Alexander Fryntov
Suppose that finitely many disjoint open arcs have been selected on the unit circle, each of length less than . Let be a longest among them. One can treat the unit disk as…
math.CV2014
Remarks on the Obrechkoff inequality
Alexandre Eremenko, Alexander Fryntov
Oberchkoff's inequality says that a polynomial of degree d with non-negative coefficients has at most 2ad/pi zeros in the angle {|arg z|<a}. We improve and generalize this inequali…