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Convolutions of planar harmonic strip mappings
Complex Variables and Elliptic Equations ( IF 0.6 ) Pub Date : 2020-12-15 , DOI: 10.1080/17476933.2020.1789864 Michael Dorff 1 , Samaneh G. Hamidi 1 , Jay M. Jahangiri 2 , Elif Yaar 3
中文翻译:
平面谐波带映射的卷积
更新日期:2020-12-15
Complex Variables and Elliptic Equations ( IF 0.6 ) Pub Date : 2020-12-15 , DOI: 10.1080/17476933.2020.1789864 Michael Dorff 1 , Samaneh G. Hamidi 1 , Jay M. Jahangiri 2 , Elif Yaar 3
Affiliation
We consider classes of harmonic univalent functions , that are shears of the analytic map with dilatation . We prove that if the convolution is locally one-to-one and sense-preserving, then is convex in the direction of the real axis.
中文翻译:
平面谐波带映射的卷积
我们考虑调和单价函数的类别 , 是分析图的剪切 有扩张 . 我们证明如果卷积 是局部一对一和意义保持的,那么 在实轴方向是凸的。