Zobrazeno 1 - 10
of 169
pro vyhledávání: '"Dubinin, V. P."'
Autor:
Dubinin, V. N.
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.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2102.01376
Autor:
Dubinin, V. N., Prilepkina, E. G.
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-dimensional Euclidean space, d>2.The proof is based on the application of a di
Externí odkaz:
http://arxiv.org/abs/2003.12750
Autor:
Dubinin, V. N.
We establish a sharp upper bound for the absolute value of the derivative of the finite Blaschke product, provided that the critical values of this product lie in a given disk.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2003.03884
Akademický článek
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Autor:
Dubinin, V.
For a meromorphic function $f$ in the unit disk $U=\{z:\;|z|<1\}$ and arbitrary points $z_1,z_2$ in $U$ distinct from the poles of $f$, a sharp upper bound on the product $|f'(z_1)f'(z_2)|$ is established. Further, we prove a sharp distortion theorem
Externí odkaz:
http://arxiv.org/abs/1803.04619
Akademický článek
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Autor:
Dubinin, V. N.
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 inequalities involving the absolute value and certain coefficients of a polynom
Externí odkaz:
http://arxiv.org/abs/1301.3985
Autor:
Dubinin, V. N.
We prove a sharp inequality for the modulus of the logarithmic derivative of a polynomial in the lemniscate components containing no critical points.
Externí odkaz:
http://arxiv.org/abs/1204.1404
Autor:
Dubinin, V. N.
We give a new lower bound for the discrete norm of a polynomial on the circle
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/1203.2401
Autor:
Dubinin, V. N.
We study the behavior of the initial coefficients of univalent functions under the Steiner symmetrization, and give some applications to functions of class \Sigma.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/1202.2633