等角六边形的单叶性内径(英文)

The inner radius of univalency for equiangular hexagons

采用L .Wieren提供的方法 ,证明了当H是一个边序列为baabaa的等角六边形并且 0 6 157…≤≤b/a≤ 1时 ,则H是一个Nehari圆 ,且σ(H) =8/ 9=σ(P6)

L.Wieren proved that if H is an equiangular hexagon whose sides form the sequence baabaa with 1≤b/a≤1.67117…,then H is a Nehari disk and σ(H)=8/9=σ(P 6) Using the methods developed by L.Wieren,we will prove that if 0.6157…≤b/a≤1,then H is still a Nehari disk and σ(H)=8/9=σ(P 6)