摘要
In this paper, the properties of bianalytic functions w（z） = z^-Ф1（z） ＋Ф2（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 arbitary 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.
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.
基金
the National Natural Science Foundation of China(No.10601036)
