Norm of pre-Schwarzian derivative for the class of k-uniformly convex and k-starlike functions

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摘要

A quasiconformal extension for the class of k-uniformly convex functions, denoted k-UCV(k∈[0,∞)), and for the class of k-starlike functions, denoted k-ST is provided. Also, estimation of the norm of pre-Schwarzian derivative in k-UCV is given.

论文关键词:k-Uniformly convex function,k-Starlike function,Quasiconformal extension,Pre-Schwarzian derivative

论文评审过程:Available online 19 August 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.08.021