FINITELY VALENT LOCALLY BIHOLOMORPHIC MAPPINGS OF MULTICONNECTED DOMAINS ONTO THE PLANE

S. Yu. Graf; V. V. Starkov

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FINITELY VALENT LOCALLY BIHOLOMORPHIC MAPPINGS OF MULTICONNECTED DOMAINS ONTO THE PLANE

机译：平面上多连接域的有限价局部双态映射

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摘要

We give a final solution to the problem of the possibility of a finitely valent locally biholomorphic mapping from an arbitrary multiconnected domain on a complex plane onto the entire complex plane with the indication of the least valency constant.

机译：我们给出了一个最终的解决方案，即从最小化价常数的情况下，从复平面上的任意多连接域到整个复平面的有限价局部双全纯映射的可能性。

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《Siberian Mathematical Journal》 |2009年第1期|共5页
作者
S. Yu. Graf; V. V. Starkov;
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原文格式 PDF
正文语种 eng
中图分类 510LB010;
关键词
locally biholomorphic mapping; multiconnected domain; Poincar′e’s Theorem;

机译：局部双全纯映射;多重连通域;庞加莱定理;

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专利

1. FINITELY VALENT LOCALLY BIHOLOMORPHIC MAPPINGS OF MULTICONNECTED DOMAINS ONTO THE PLANE [J] . S. Yu. Graf, V. V. Starkov Siberian Mathematical Journal . 2009,第1期

机译：平面上多连接域的有限价局部双态映射
2. FINITELY VALENT LOCALLY BIHOLOMORPHIC MAPPINGS OF BOUNDED DOMAINS [J] . V. V. Starkov Siberian Mathematical Journal . 2011,第1期

机译：有界域的有限价局部双态映射
3. On locally biholomorphic finitely valent mappings from multi-connected domains onto the open disc [J] . Liczberski P., Starkov V.V. Journal of Mathematical Analysis and Applications . 2009,第1期

机译：关于从多重连接域到开放光盘的局部双全有限映射
4. Some Practical Techniques of Finite Element Mesh Generation for Multiconnected Domain [C] . Zhang Hua, An Xiaowei, Fu Yao International conference on vibration engineering;ICVE'98 . 1998

机译：多连通域有限元网格生成的一些实用技术
5. Locally-Refined and Semi-Conformal Mesh, Fully-Anisotropic Finite-Difference Time-Domain Solver [D] . Nehls, John. 2020

机译：本地精制和半保形网格，完全各向异性有限差分时间域求解器
6. Spatially resolved and orientation dependent Raman mapping of epitaxial lateral overgrowth nonpolar a-plane GaN on r-plane sapphire [O] . Teng Jiang, Sheng-rui Xu, Jin-cheng Zhang, -1

机译：R平面蓝宝石上外延横向过生长非极性a平面GaN的空间分辨和依赖于方向的拉曼映射
7. On locally biholomorphic finitely valent mappings from multi-connected domains onto the open disc [O] . Liczberski Piotr, Starkov Victor V. 2009

机译：关于从多连接域到开放光盘的局部双全有限映射
8. Locally non-uniform finite-difference time domain with application to stealth, crosstalk, and narrow apertures. [R] . Riley, D. J. 1993

机译：局部非均匀有限差分时域，适用于隐身，串扰和窄孔径。

FINITELY VALENT LOCALLY BIHOLOMORPHIC MAPPINGS OF MULTICONNECTED DOMAINS ONTO THE PLANE

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