eprintid: 25118 rev_number: 15 eprint_status: archive userid: 3588 dir: disk0/00/02/51/18 datestamp: 2017-07-19 12:04:19 lastmod: 2017-07-19 12:04:19 status_changed: 2017-07-19 12:04:19 type: article metadata_visibility: show title: On the One Extremal Problem with the Free Poles on the Unit circle language: english abstract: 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 functional 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. 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: 6 publisher: SciPress Ltd., Switzerland pagerange: 26-31 refereed: TRUE issn: 2297-6213 citation: Targonskii, A. L. (2016) On the One Extremal Problem with the Free Poles on the Unit circle. International Journal of Advanced Research in Mathematics (6). с. 26-31. ISSN 2297-6213 document_url: http://eprints.zu.edu.ua/25118/1/IJARM.6.26.pdf