@Article{JMS-48-265, author = {Zhu , Mengkun and Huang , Xinzhong}, 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 = {http://global-sci.org/intro/article_detail/jms/9928.html} }