4 citations · 12 across the 13 of their papers we have counts for
14 papers
Some remarks on rotation theorems for complex polynomials
V. N. Dubinin
For any complex polynomial P having all its zeros in the unit disk, we estimate the rate of change of the argument P (z) when the point z runs through the boundary of this disk.
Optimal Green energy points on the circles in d-space
V. N. Dubinin, E. G. Prilepkina
We give two precise estimates for the Green energy of a discrete charge, concentrated in the points on the circles, with respect to the concentric rotation domain in the d-dimensio…
Four-point distortion theorem for complex polynomials
V. N. Dubinin
We prove a theorem on distortion of cross ratio of four points under the mapping effected by a complex polynomial with restricted critical values. Its corollaries include inequalit…
On the lemniscate components containing no critical points of a polynomial except for its zeros
V. N. Dubinin
We prove a sharp inequality for the modulus of the logarithmic derivative of a polynomial in the lemniscate components containing no critical points.
Lower Bound for the Discrete Norm of a Polynomial on the Circle
V. N. Dubinin
We give a new lower bound for the discrete norm of a polynomial on the circle
Steiner symmetrization and the initial coefficients of univalent functions
V. N. Dubinin
We study the behavior of the initial coefficients of univalent functions under the Steiner symmetrization, and give some applications to functions of class Σ.