一类六边形的单叶性内径

The Inner Radius of Univalency for an Inequiangular Hexagon

主要研究了一类六边形的单叶性内径,给出了角序列为αββαββ,边长序列为baabaa(a=kπ,a,b依赖于k)的六边形H的单叶性内径σ(H)=2k2,从而证明了此类六边形H为Nehari圆.

In this paper,we discuss the inner radius of uniralency for an inequiangular hexagon H whose angularities form the sequence αββαββ and sides form the sequence baabaa (α=kπ,a,b depend on k). We prove that the the inner radius of univalency for H is 2k2 andH is a Nehari disk.