Solutions of the Loewner equation with an initial condition at the boundary of a circle | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2011. № 2(14).

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Solutions of the Loewner equation with an initial condition at the boundary of a circle

In this paper, the behavior of solutions of theLoewner equation with an initial condition at the boundary of a circle is investigated. Conditionsat which the solutions have the modulus greater or smaller than the unity are found.

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Keywords

sign of the mixed product, vector of the principal normal, initial condition, solution of the Loewner equation, знак смешанного произведения, начальное условие, вектор главной нормали, решение уравнения Лёвнера

Authors

NameOrganizationE-mail
Sadritdinova Gulnora DolimdganovnaTomsk State University оf Architecture аnd Buildingdolina1@sibmail.com
Всего: 1

References

Труды П.П. Куфарева. К 100-летию со дня рождения / под общ. ред. И.А. Александрова. - Томск: Изд-во НТЛ, 2009. - С. 64-74.
Александров И.А. Параметрические продолжения в теории однолистных функций. М.: Наука, 1976.
Solutions of the Loewner equation with an initial condition at the boundary of a circle | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2011. № 2(14).

Solutions of the Loewner equation with an initial condition at the boundary of a circle | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2011. № 2(14).

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