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- W4311554299 abstract "Let $mathcal{A}$ denote the class of analytic functions $f$ in the unit disk $mathbb{D}={zinmathbb{C}:|z|<1}$ normalized by $f(0)=0$, $f'(0)=1$. In the present article, we obtain the sharp estimates of the Schwarzian norm for functions in the classes $mathcal{G}(beta)={fin mathcal{A}:{rm Re,}[1+zf''(z)/f'(z)]<1+beta/2}$, where $beta>0$ and $mathcal{F}(alpha)={fin mathcal{A}:{rm Re,}[1+zf''(z)/f'(z)]>alpha}$, where $-1/2le alphale 0$. We also establish two-point distortion theorem for functions in the classes $mathcal{G}(beta)$ and $mathcal{F}(alpha)$." @default.
- W4311554299 created "2022-12-27" @default.
- W4311554299 creator A5054756907 @default.
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- W4311554299 date "2022-12-13" @default.
- W4311554299 modified "2023-09-26" @default.
- W4311554299 title "Schwarzian norm estimates for some classes of analytic functions" @default.
- W4311554299 doi "https://doi.org/10.48550/arxiv.2212.06374" @default.
- W4311554299 hasPublicationYear "2022" @default.
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