含零点弧的双解析函数在极点处的性质(英文)

摘要

In this paper,the properties of bianalytic functions w(z)=zφ1(z)+φ2(z) with zero arc at the pole z=0 are discussed.Some conditions under which there exists an arc γ,an end of which is z=0,such that w(z)=0 for z∈γ{0} are given.Secondly,that the limit set of w(z) is a circle or line as z→0 is proved in this case.Finally,two numerical examples are given to illustrate our results.