ON AN EXTREMAL PROBLEM FOR NONOVERLAPPING DOMAINS

被引：0
|
作者：
Pchelintsev, E. A. [1 ]
Pchelintsev, V. A. [1 ]
机构：
[1] Tomsk State Univ, Phys & Math, Tomsk, Russia
来源：
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS | 2018年 / 52期
基金：
俄罗斯基础研究基金会;
关键词：
Method of internal variations; Univalent function; Nonoverlapping domains; Functional range; Elliptic integrals;
D O I：
10.17223/19988621/52/2
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The paper considers the problem of finding the range of the functional I = J(f(z(0))<(f(z(0))over bar)>,F(zeta(0)),<(F(zeta(0))over bar)> defined on the class m of functions paris (f(z),F(zeta)) that are univalent in the system of the disk and the interior of the disk, using the method of internal variation. We establish that the range of this functional is bounded by the curve whose equation is written in terms of elliptic integrals, dependmg on the parameters of the functional I.
引用
收藏
页码：13 / 24
页数：12
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