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• W2955264726 abstract "The present article concerns the Bohr radius for K-quasiconformal sense-preserving harmonic mappings $$f=h+overline{g}$$ in the unit disk $$mathbb {D}$$ for which the analytic part h is subordinated to some analytic function $$varphi $$ , and the purpose is to look into two cases: when $$varphi $$ is convex, or a general univalent function in $$mathbb {D}$$ . The results state that if $$h(z) =sum _{n=0}^{infty }a_n z^n$$ and $$g(z)=sum _{n=1}^{infty }b_n z^n$$ , then $$begin{aligned} sum _{n=1}^{infty }(|a_n|+|b_n|)r^nle {{text {dist}}}(varphi (0),partial varphi (mathbb {D})) quad text{ for } rle r^* end{aligned}$$ and give estimates for the largest possible $$r^*$$ depending only on the geometric property of $$varphi (mathbb {D})$$ and the parameter K. Improved versions of the theorems are given for the case when $$b_1 = 0$$ and corollaries are drawn for the case when $$Krightarrow infty $$ ." @default.
• W2955264726 created "2019-07-12" @default.
• W2955264726 creator A5007054845 @default.
• W2955264726 creator A5090004891 @default.
• W2955264726 date "2019-07-01" @default.
• W2955264726 modified "2023-10-17" @default.
• W2955264726 title "Bohr Radius for Subordination and K-quasiconformal Harmonic Mappings" @default.
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• W2955264726 doi "https://doi.org/10.1007/s40840-019-00795-9" @default.
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