The sharp bound of the third order Hankel determinant for inverse of Ozaki close-to-convex functions
Let \(f\) be analytic in the unit disk \(\mathbb{D}= \{z \in \mathbb{C}~:~ |z| < 1\}\), and \(\mathcal{S}\) be the subclass of normalized univalent functions given by \(f(z)=\sum_{n=1}^{\infty}a_{n}z^{n},~a_{1}:=1\) for \(z \in\mathbb{D}\). We present the sharp bounds of the third-order Hankel de...
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Veröffentlicht in: | arXiv.org 2023-10 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | Let \(f\) be analytic in the unit disk \(\mathbb{D}= \{z \in \mathbb{C}~:~ |z| < 1\}\), and \(\mathcal{S}\) be the subclass of normalized univalent functions given by \(f(z)=\sum_{n=1}^{\infty}a_{n}z^{n},~a_{1}:=1\) for \(z \in\mathbb{D}\). We present the sharp bounds of the third-order Hankel determinant for inverse functions when it belongs to of the class of Ozaki close-to-convex. |
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ISSN: | 2331-8422 |