eprintid: 20629
rev_number: 14
eprint_status: archive
userid: 3588
dir: disk0/00/02/06/29
datestamp: 2016-03-23 07:27:12
lastmod: 2016-10-10 08:44:25
status_changed: 2016-03-23 07:27:12
type: article
metadata_visibility: show
title: On the one extremal problem on the Riemann sphere
language: english
abstract: 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 poles
keywords: Inner radius of domain, quadratic differential, piecewise-separating transformation, Green
function, radial systems of points, logarithmic capacity, variational formula
creators_name: Targonskii, A. L.
creators_name: Targonskaya, I.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2016
date_type: published
publication: International Journal of Advanced Research in Mathematics
number: 4
publisher: SciPress Ltd., Switzerland
pagerange: 1-7
refereed: TRUE
issn: 2297-6213
citation:   Targonskii, A. L., Targonskaya, I.  (2016) On the one extremal problem on the Riemann sphere.  International Journal of Advanced Research in Mathematics (4).  с. 1-7.  ISSN 2297-6213     
document_url: http://eprints.zu.edu.ua/20629/1/IJARM.4.1.pdf