On the Relation Between the Method of Parametric Representations andthe Methods of Goluzin and Kufarev | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 2 (3).

On the Relation Between the Method of Parametric Representations andthe Methods of Goluzin and Kufarev

The way is indicated to obtain variational Goluzin's and Kufarev's formulae on the basis of variation of control function in Lowner's equation.

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Keywords

vaiational formulae , Lowner's equation , вариационные формулы Голузина и Куфарева , уравнение Лёвнера

Authors

NameOrganizationE-mail
Alexandrov I.A. aai@igrem.ru
Всего: 1

References

Левнер (Lцwner K). Untersuchungen ьber schlichte konforme Abbildung der Einheitskreises. J. Math. Ann. 1923. 89. P. 103 - 121.
Голузин Г.М. Геометрическая теория функций комплексного переменного. М.: Наука, 1966.
Александров А.И., Александров И.А. Вариационная формула Голузина для левнеровских отображений круга // Вестник ТГУ. Математика и механика. 2008. № 1(2). С. 5 - 10.
Куфарев П.П. Об одном свойстве экстремальных областей задачи коэффициентов // ДАН СССР. 1954. Т. 97. С. 391 - 393.
 On the Relation Between the Method of Parametric Representations andthe Methods of Goluzin and Kufarev             | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 2 (3).

On the Relation Between the Method of Parametric Representations andthe Methods of Goluzin and Kufarev | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 2 (3).

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