This analysis provides norms for Schwarzian derivatives in strongly starlike functions, highlighting implications for k-quasiconformal extension.
UDC 517.5 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).
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Wu et al. (2025) studied this question.
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