三角形及五边形的Schwarz导数单叶性内径

The inner radius of univalence of triangles and pentagons

利用共形映射的Schwarz-Christoffel公式和复合函数的Schwarz导数公式,改进对多边形单叶性内径估值的Leila Miller-Van Wieren方法,使得对奇数边形的单叶性内径可以估值,得到了三角形的单叶性内径,并给出了五边形单叶性内径的估值模型.

Using Schwarz-Christoffel formula and Schwarzian derivative formula about composite function,the Leila Miller-Van Wieren＇s method for estimating numerical about the inner radius of univalence is improved,and the inner radius of univalence of odd polygons is studied.This paper also gets the inner radius of univalency of triangles,and gives out a calculation method for pentagons.