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<p>Our purpose is to obtain estimates for the norms of Schwarzian and pre-Schwarzian derivatives of strongly starlike functions and strongly convex functions of order <i>α</i> and type <i>β.</i> In addition, we present an example of a function <i>f</i> ∈<i> S*</i>(<i>α, β</i>) that cannot be <i>k</i>-quasiconformally extended for any <i>k&lt; α</i>(1 <i>− β</i>)<i>.</i></p>

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Norm Estimation for Pre-Schwarzian and Schwarzian Derivatives of Some Univalent Functions

  • 期刊论文

  • 发表日期：

    2025年11月11日

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  • Xiaobin Wu,
  • Wanghao Zhu

摘要

Our purpose is to obtain estimates for the norms of Schwarzian and pre-Schwarzian derivatives of strongly starlike functions and strongly convex functions of order α and type β. In addition, we present an example of a function f ∈ S*(α, β) that cannot be k-quasiconformally extended for any k< α(1 − β).