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- W4311554297 abstract "For $-1leq B<Aleq 1$, let $mathcal{C}(A,B)$ denote the class of normalized Janowski convex functions defined in the unit disk $mathbb{D}:={zinmathbb{C}:|z|<1}$ that satisfy the subordination relation $1+zf''(z)/f'(z)prec (1+Az)/(1+Bz)$. In the present article, we determine the sharp estimate of the Schwarzian norm for functions in the class $mathcal{C}(A,B)$. The Dieudonn'{e}'s lemma which gives the exact region of variability for derivatives at a point of bounded functions, plays the key role in this study, and we also use this lemma to construct the extremal functions for the sharpness by a new method." @default.
- W4311554297 created "2022-12-27" @default.
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- W4311554297 date "2022-12-13" @default.
- W4311554297 modified "2023-09-30" @default.
- W4311554297 title "The Schwarzian norm estimates for Janowski convex functions" @default.
- W4311554297 doi "https://doi.org/10.48550/arxiv.2212.06377" @default.
- W4311554297 hasPublicationYear "2022" @default.
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