<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Extremal problems on the generalized (<italic>n</italic>, <italic>d</italic>)-equiangular system of points

Department of Mathematical Analysis, Zhytomyr State University, Velyka Berdychivs’ka, 40, 10008 Zhytomyr, Ukraine.

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Extremal problems on the generalized (, )-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...

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

Published Online: Oct 20, 2015

Page range: 239 - 252

Accepted: Aug 01, 2013

DOI: https://doi.org/10.2478/auom-2014-0044

Keywords
inner radius of domain, quadratic differential, piecewise-separating transformation, the Green function, radial systems of points, logarithmic capacity, variational formula

© 2014 A. Targonskii, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Oct 20, 2015

Page range: 239 - 252

Accepted: Aug 01, 2013

DOI: https://doi.org/10.2478/auom-2014-0044

Keywordsinner radius of domain, quadratic differential, piecewise-separating transformation, the Green function, radial systems of points, logarithmic capacity, variational formula

© 2014 A. Targonskii, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
inner radius of domain, quadratic differential, piecewise-separating transformation, the Green function, radial systems of points, logarithmic capacity, variational formula