Parametric Characteristics of High-Order Tangential Loewner’s Slits
- 作者: Prokhorov D.1,2
-
隶属关系:
- Saratov State University
- Petrozavodsk State University
- 期: 卷 39, 编号 6 (2018)
- 页面: 818-825
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202458
- DOI: https://doi.org/10.1134/S199508021806015X
- ID: 202458
如何引用文章
详细
We describe the chordal Loewner evolution with a driving function generating the slit in the upper half-plane which is high-order tangential to the real axis at 0. In this case, the slit is a joint boundary for the analytic corner and the analytic cusp. We give an asymptotic expansion of the slit and of the conformal mapping from the upper half-plane onto the upper half-plane with the slit both in the corner and the cusp. We find also a relation between harmonic measures of the two sides of the slit.
作者简介
D. Prokhorov
Saratov State University; Petrozavodsk State University
编辑信件的主要联系方式.
Email: prokhorovdv@info.sgu.ru
俄罗斯联邦, ul. Astrakhanskaya 83, Saratov, 410026; ul. Lenina 33, Petrozavodsk, 185000