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http://dx.doi.org/10.5666/KMJ.2021.61.2.269

Coefficient Bounds for a Subclass of Harmonic Mappings Convex in One Direction  

Shabani, Mohammad Mehdi (Department of Mathematics, University of Shahrood)
Yazdi, Maryam (Young Researchers and Elite Club, Malard Branch, Islamic Azad University)
Sababe, Saeed Hashemi (Department of Mathematical and Statistical Sciences, University of Alberta, Young Researchers and Elite Club, Malard Branch, Islamic Azad University)
Publication Information
Kyungpook Mathematical Journal / v.61, no.2, 2021 , pp. 269-278 More about this Journal
Abstract
In this paper, we investigate harmonic univalent functions convex in the direction 𝜃, for 𝜃 ∈ [0, 𝜋). We find bounds for |fz(z)|, ${\mid}f_{\bar{z}}(z){\mid}$ and |f(z)|, as well as coefficient bounds on the series expansion of functions convex in a given direction.
Keywords
harmonic; univalent; convex; shear construction;
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