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首页> 外文期刊>Communications of the Korean Mathematical Society >A SUBCLASS OF HARMONIC UNIVALENT MAPPINGS WITH A RESTRICTED ANALYTIC PART
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A SUBCLASS OF HARMONIC UNIVALENT MAPPINGS WITH A RESTRICTED ANALYTIC PART

机译:带有约束分析部分的谐波等价映射的子类

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In this article, a subclass of univalent harmonic mapping is introduced by restricting its analytic part to lie in the class S δ [α], 0 ≤α < 1, ?∞ < δ < ∞ which has been introduced and studied by Kumar [17] (see also [20], [21], [22], [23]). Coefficient estimations, growth and distortion properties, area theorem and covering estimates of functions in the newly defined class have been established. Furthermore, we also found bound for the Bloch’s constant for all functions in that family.
机译:在本文中,通过限制单价谐波映射的解析部分位于Sδ[α],0≤α<1,?∞<δ<∞中,引入了单价谐波映射的子类[17]。 ](另请参见[20],[21],[22],[23])。已经建立了系数估计,增长和变形特性,面积定理以及新定义的类中函数的覆盖率估计。此外,我们还发现该系列中所有功能的Bloch常数都受到限制。

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