Extremal problem on (2n,2m−1)-system points on the rays

Extremal function be foun

Extremal problem with variable quantity of points on rays

To find a maximum functiona

Extremal problems for partially non-overlapping domains on equiangular system points

Extremal function be found

Extremal problem on (2n, 2m − 1)-system points on the rays

In this work derivation of accurate estimate the production inner radius non-overlapping domains and open set. The problems arise such type in the �rst time in work [1]. It is late result this work generalize and strengthen in works [2 { 13]. In works [7, 8, 10] introduce the general systems points, the name n-radial systems points. In this work a success the draw generalize some results the work [7

On the One Extremal Problem with the Free Poles on the Unit circle

The sharp estimates of the product of the inner radius for pairwise disjoint domains are obtained. In particular, we solve an extremal problem in the case of an arbitrary finite number of the free poles on the unit circle for the following functiona

Extremal problems on the generalized (n; d)-equiangular system of points

The paper of Lavrent'ev [1] was the beginning of geometrical theory of functions of the complex variable. He solved a problem on the product of conformal radiuses of two non-overlapping domains. In many papers (see [2] { [13]) the Lavrent'ev's result are generalized. In this paper are obtained the new results of this direction

On the one extremal problem on the Riemann sphere

Sharp estimates of product of inner radii for pairwise disjoint domains are obtained. In particular, we solve an extremal problem in the case of arbitrary finite number of rays containing arbitrary even number of free pole

Extremal problem on (2n; 2m - 1)-system points on the rays

In this work derivation of accurate estimate the production inner radius non-overlapping domains and open set. The problems arise such type in the first time in work [1]. It is late result this work generalize and strengthen in works [2 - 13]. In works [7, 8, 10] introduce the general systems points, the name n-radial systems points. In this work a success the draw generalize some results the work [7

Separating transformation in a problem on extremal decomposition of the complex plane

The paper is devoted to investigation of the problems of geometric function theory of a complex variable. A general problem of the description of extremal configurations maximizing the product of the inner radii of mutually non-overlapping domains is studied