@Article{JMS-47-295, author = {Mu , Jingjing and Chen , Xingdi}, title = {Landau-Type Theorems for Solutions of a Quasilinear Differential Equation}, journal = {Journal of Mathematical Study}, year = {2014}, volume = {47}, number = {3}, pages = {295--304}, abstract = {

In this paper, we study solutions of the quasilinear differential equation $\bar{z}\partial_{\bar{z}}f(z)+z\partial_{z}f(z)+(1-|z|^2)\partial_{z}\partial_{\bar{z}}f(z)=f(z)$. We utilize harmonic mappings to obtain an explicit representation of solutions of this equation. By this result, we give two versions of Landau-type theorem under proper normalization conditions.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v47n3.14.05}, url = {http://global-sci.org/intro/article_detail/jms/9960.html} }