Email this article Some evaluation of maximum of the product of conformal radii for pairwise non-overlapping domains
- Authors: Zabolotnii Y.1, Dvorak I.1
-
Affiliations:
- Department of Complex Analysis and Potential Theory
- Issue: Vol 38, No 3 (2017)
- Pages: 554-559
- Section: Article
- URL: https://bakhtiniada.ru/1995-0802/article/view/199451
- DOI: https://doi.org/10.1134/S1995080217030271
- ID: 199451
Cite item
Open Access
Access granted
Subscription Access
Abstract
Paper is devoted to one classic problem of geometric function theory on extremal decomposition of the complex plane. We consider a problem of maximization of product of inner radii of n non-overlapping domains. We obtain a particular solution of this problem.
About the authors
Ya. Zabolotnii
Department of Complex Analysis and Potential Theory
Author for correspondence.
Email: yaroslavzabolotnii@mail.ru
Ukraine, Tereschenkivska 3, Kiev-4, 01004
I. Dvorak
Department of Complex Analysis and Potential Theory
Email: yaroslavzabolotnii@mail.ru
Ukraine, Tereschenkivska 3, Kiev-4, 01004
Supplementary files
