Goluzin's Variational Formula for Lцwner'sMappings of a Circle | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 1 (2).

HomeIssuesGoluzin's Variational Formula for Lцwner'sMappings of a Circle | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 1 (2).

Goluzin's Variational Formula for Lцwner'sMappings of a Circle

A deduction of the principal variational Goluzin's formula in the framework of the inner variations method for one-to-one mappings of a circle is suggested. The deduction is based on a variation of controlling function in the Lцwner's equation.

Download file
Counter downloads: 367

Keywords

Goluzin's variational formula , Lцwner's equation , вариационная формула Голузина , уравнение Лёвнера

Authors

NameOrganizationE-mail
Alexandrov A.I. aai@igrem.ru
Alexandrov I.A. aai@igrem.ru
Всего: 2

References

Гутлянский В.Я. Параметрические представления и экстремальные задачи в теории однолистных функций: Автореф. дис. ... докт. физ.мат. наук. Киев: Математический институт АН УССР, 1972.
Сыркашев А.Н. О вариационном и параметрическом методах в теории однолистных функций // Вестник ТГУ. 2003. № 280. С. 86 - 96.
Александров И.А. Параметрические продолжения в теории однолистных функций. М.: Наука, 1976.
Голузин Г.М. Геометрическая теория функций комплексного переменного. М.: Наука, 1966.
Pommerenke Ch. On a variational method for univalent functions // Michigan Math. J. 1970. V. 17. P. 1 - 3.
Goluzin's Variational Formula for Lцwner'sMappings of a Circle | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 1 (2).

Goluzin's Variational Formula for Lцwner'sMappings of a Circle | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 1 (2).

Download file