关于多项解析函数的Landau型定理

某些有界多解析函数与约化多解析函数的Landau型定理

Landau-type theorems for certain bounded poly-analytic and reduced poly-analytic functions

本文针对有界多解析函数与约化多解析函数建立若干Landau型定理，推广了已有结果。

The theorems of Schottky and Landau for analytic functions omitting the n-th roots of unity

We prove sharp Landau- and Schottky-type theorems for analytic functions which omit the $n$-th roots of unity. The proofs are based on a sharp lower bound for the Poincaré metric of the complex plane punctured at the roots of unity.

Landau's theorem for polyharmonic mappings

In this paper, we first investigate coefficient estimates for bounded polyharmonic mappings in the unit disk $\mathbb{D}$. Then, we obtain two versions of Landau's theorem for polyharmonics mapping $F$, and for the mappings of the type $L(F)$, where $L$ is the differential operator of Abdulhadi, Abu Muhanna and Khuri. Examples and numerical estimates are given.

Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings

In this paper, we establish three new versions of Landau-type theorems for bounded bi-analytic functions of the form $F(z)=\bar{z}G(z)+H(z)$, where $G$ and $H$ are analytic in the unit disk $|z|<1$ with $G(0)=H(0)=0$ and $H'(0)=1$. In particular, two of them are sharp while the other one either generalizes or improves the corresponding result of Abdulhadi and Hajj. As consequences, several new sharp versions of Landau-type theorems for certain subclasses of bounded biharmonic mappings are proved.

多解析函数与对数-α解析函数的Landau型定理

Landau-type Theorems for Polyanalytic and Log-$α$-analytic functions

该研究针对多解析函数与log-α解析函数的单叶性问题，通过新思路证明改进引理并给出单位圆盘上有界多解析函数的系数估计，提出三种Landau型定理并确定单叶域与单叶圆盘半径，同时推导出log-α解析函数的相应Landau型定理。

Log-p-解析函数的进展：Landau 型定理及其改进

Advancements in Log-P-Analytic Functions: Landau-Type Theorems and Their Refinements

该研究引入 log-p-解析函数概念，建立并改进多解析函数的 Landau 型定理，还针对有界情形给出专门版本与精确结论。