Viun V. Separate transformation and quadratic differentials in geometric theory of complex variable functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U000683

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

12-02-2008

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The thesis is devoted to solving of class of extreme problems of geometrical theory of complex variable functions, connected with upper estimate of the product of inner radii of disjoint domains or an open set. Due to the angular parameters and coefficients of displacement are got estimations which take into account deviation of not extreme configuration from extreme. Results for disjoint domains are generalized in case of the open sets, satisfying the conditions of unapplying in relation to the input system of points.

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