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-  2013 

圆弧多边形的单叶性内径
On the Inner Radius of Univalency for Curvilinera Polygons

Keywords: Schwarz导数,单叶性内径,圆弧多边形
Schwarz导数 单叶性内径 圆弧多边形
,Schwarz导数 单叶性内径 圆弧多边形,Schwarz导数 单叶性内径 圆弧多边形

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Abstract:

根据圆弧多边形区域的Schwarz-Christoffel变换的构造过程中Schwarz导数的作用,得到了圆弧三角形和正圆弧多边形区域的单叶性内径,证明了它们都是Nehari圆.
By using the idea in constructing the Schwarz-Christoffel formular,the inner radius of univalency for curvilinear polygons such as curvilinear triangles and regular circular polygons is studied.And explicit value of those domains is obtained.The results suggest that those domains are all Nehari disk

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