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右半平面调和映照的卷积

发布时间:2019-08-10 08:43
【摘要】:研究右半平面调和映照卷积的单叶性判别和几何特征的刻画问题.证明第二复伸张为w(z)=-z×(z-a)/(1-az)(0≤a≤1)的右半平面调和映照f(z),其与典范右半平面调和映照f_0(z)的卷积映照f*f_0不仅属于S_H~0,而且是沿实轴方向上是凸的.
[Abstract]:In this paper, the univalent discrimination of convolution of harmonic maps in the right half plane and the characterization of geometric features are studied. It is proved that the convolution mapping f (z), of the right half plane harmonic mapping f (z), with the second complex extension of w (z) =-z 脳 (z 鈮,

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