@Article{JMS-48-3, author = {Zhu, Mengkun and Xinzhong, Huang}, title = {The Distortion Theorems for Harmonic Mappings with Negative Coefficient Analytic Parts}, journal = {Journal of Mathematical Study}, year = {2015}, volume = {48}, number = {3}, pages = {265--274}, abstract = {

Some sharp estimates for coefficients, distortion and the growth order are obtained for harmonic mappings $f ∈ TL^α_H$ which are locally univalent harmonic mappings in the unit disk $\mathbb{D}:=\{z:|z| < 1\}$. Moreover, denoting the subclass $TS^α_H$ of the normalized univalent harmonic mappings, we also estimate the growth of $|f|,$ $f ∈ TS^α_H,$ and their covering theorems.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v48n3.15.05}, url = {https://global-sci.com/article/87829/the-distortion-theorems-for-harmonic-mappings-with-negative-coefficient-analytic-parts} }