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Convolution and subordination properties of analytic functions with bounded radius rotations

机译:有界半径旋转的解析函数的卷积和从属性质

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摘要

A function analytic and locally univalent in a simply connected domainis of bounded radius rotation if its range has bounded radiusrotation which is defined as the total variation of the direction angleof the radial vector to the boundary curve under a complete circuit.In this paper, we introduce some subclasses of analytic functions withbounded radius rotation involving subordination and establish integraland convolution preserving properties. We also determine estimates forthe growth and distortion bounds, inclusions, conditions for starlikenessand bounds on coefficients differences. Most of our findings are relatedwith the existing known results and several of their applications arefound in literature of the subject.
机译:如果一个函数的范围具有有限的半径旋转,则该函数是解析的且在简单连接的域中是局部唯一的函数,该函数的范围为有限半径旋转,定义为在完整电路下径向矢量相对于边界曲线的方向角的总变化量。解析函数的某些子类具有涉及从属的有界半径旋转,并建立了积分和卷积保持性质。我们还确定了生长和畸变界限,内含物,星状条件和系数差异界限的估计值。我们的大多数发现与现有的已知结果有关,并且在该主题的文献中发现了其中的一些应用。

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