具有固定解析部的调和映射

Engineering Educator: Courses Pub Date : 2019-01-16 DOI:10.2139/ssrn.3316668

Rajbala Choudary, J. K. Prajapat

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引用次数: 2

摘要

本文考虑了一类具有解析部分在一个方向上凸的保感调和映射。证明了该类函数对于某些参数值是近凸的。此外，我们还得到了前schwarzian导数和Bloch常数的界。此外，我们还研究了系数估计、增长和失真结果。

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Harmonic Mappings With Fixed Analytic Part

In this article, we consider a class of sense preserving harmonic mappings having analytic part convex in one direction. We prove that functions in this class are close-to-convex for certain values of parameters. Also, we obtain bounds on the pre-Schwarzian derivatives and on the Bloch’s constant. In addition, we investigate the coeﬃcient estimates, growth and distortion results.

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Engineering Educator: Courses

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