论文标题
系数功能和Bohr-Rogosinski现象，用于涉及半群发电机的分析功能
Coefficient Functional and Bohr-Rogosinski Phenomenon for Analytic functions involving Semigroup Generators
论文作者
论文摘要
本文研究了Semigroup发电机类别的系数问题，该类别是复杂动力学中的主题，最近在几何函数理论的背景下进行了研究。此外，得出了系数功能的尖锐界限，例如二阶汉克尔决定簇，三阶Toeplitz和Hermitian-toeplitz决定因素。此外，确定了连续系数的急剧生长估计和差异的界限，用于证明Semogroup发电机类别的Bohr和Bohr-Rogosinski现象。
This paper examines the coefficient problems for the class of semigroup generators, a topic in complex dynamics that has recently been studied in context of geometric function theory. Further, sharp bounds of coefficient functional such as second order Hankel determinant, third order Toeplitz and Hermitian-Toeplitz determinants are derived. Additionally, the sharp growth estimates and the bounds of difference of successive coefficients are determined, which are used to prove the Bohr and the Bohr-Rogosinski phenomenon for the class of semigroup generators.
