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- W4306990106 abstract "For a meromorphic function $f$ in the unit disk $U={z:;|z|<1}$ and arbitrary points $z_1,z_2$ in $U$ distinct from the poles of $f$, a sharp upper bound on the product $|f'(z_1)f'(z_2)|$ is established. Further, we prove a sharp distortion theorem involving the derivatives $f'(z_1)$, $f'(z_2)$ and the Schwarzian derivatives $S_f(z_1)$, $S_f(z_2)$ for $z_1,z_2in U$. Both estimates hold true under some geometric restrictions on the image $f(U)$." @default.
- W4306990106 created "2022-10-22" @default.
- W4306990106 creator A5088209898 @default.
- W4306990106 date "2018-03-13" @default.
- W4306990106 modified "2023-09-28" @default.
- W4306990106 title "Two-point distortion theorems and the Schwarzian derivatives of meromorphic functions" @default.
- W4306990106 doi "https://doi.org/10.48550/arxiv.1803.04619" @default.
- W4306990106 hasPublicationYear "2018" @default.
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