The problem of V. N. Dubinin for symmetric multiconnected domains
UDC 517.54We consider a quite general problem from the geometric theory of functions on finding a maximal value of the product of the inner radii of $n$ non-overlapping domains, which contain points of the unit circle and are symmetric with respect to the unit circle, and the $\gamma$-powered inner...
Збережено в:
| Дата: | 2020 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2020
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6064 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.54We consider a quite general problem from the geometric theory of functions on finding a maximal value of the product of the inner radii of $n$ non-overlapping domains, which contain points of the unit circle and are symmetric with respect to the unit circle, and the $\gamma$-powered inner radius of a domain containing the origin. In this paper, we solve this problem for $n\geq 20$ and $1<\gamma\leq n^{\frac{2}{3}-q(n)}.$ |
|---|---|
| DOI: | 10.37863/umzh.v72i11.6064 |