系数为两相异零点的多边形单叶调和映射

Mappings of Coefficient of Two Dissimilarity Zero of Univalent Harmonic Function onto Polygon

给出ａ（ｚ）＝ ｅｉθ（ ｚ－ ａ１１－ ａ１ｚ）（ ｚ－ ａ２１－ ａ２ｚ）存在将单位圆盘单叶调和保向地映射为已知的多边形并满足给定的Ｂｅｌｔｒａｍ ｉ方程ｆｚ＝ ａ（ｚ）ｆｚ 的映射的充分必要条件．

The sufficient and necessary conditions of existence of the univalent harmonic orientationpreserving mappings f(z) are given,and f(z) satisfies the equation f =a(z)f z for given Beltrami coefficient a(z)= e iθ (z-a 11- a 1 z)(z-a 21- a 2 z) and maps unit disk U onto a given polygon P .