论文标题
logharmonic映射的积分转换
Integral transform for Logharmonic mappings
论文作者
论文摘要
Bieberbach's conjecture was very important in the development of Geometric Function Theory, not only because of the result itself, but also due to the large amount of methods that have been developed in search of its proof, it is in this context that the integral transformations of the type $f_α(z)=\int_0^z(f(ζ)/ζ)^αdζ$ or $f_α（z）= \ int_0^z（f'（ζ））^αdζ$出现。在此注释中，我们扩展了一个经典问题，即在\ mathbb {c} $中找到$α\的值，而每当$f_α$或$f_α$都是无关的，每当$ f $属于某些$ \ \ \ m rathbb d $中的单价映射的某些子类别时，介绍了logharmonic映射的情况，并通过the shore texteive of the shore textiitie and t the shore t the shore t the sextire and t t shore t textive and t the sextive and t the sextire and t the sextive and。 Sheil-small in \ cite {css}到这个新场景。
Bieberbach's conjecture was very important in the development of Geometric Function Theory, not only because of the result itself, but also due to the large amount of methods that have been developed in search of its proof, it is in this context that the integral transformations of the type $f_α(z)=\int_0^z(f(ζ)/ζ)^αdζ$ or $F_α(z)=\int_0^z(f'(ζ))^αdζ$ appear. In this notes we extend the classical problem of finding the values of $α\in\mathbb{C}$ for which either $f_α$ or $F_α$ are univalent, whenever $f$ belongs to some subclasses of univalent mappings in $\mathbb D$, to the case of logharmonic mappings, by considering the extension of the \textit{shear construction} introduced by Clunie and Sheil-Small in \cite{CSS} to this new scenario.
