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http://hdl.handle.net/20.500.12188/30703
Title: | Certain properties of the class of univalent functions with real coefficients | Authors: | Milutin Obradović Nikola Tuneski |
Keywords: | Mathematics - Complex Variables Mathematics - Complex Variables 30C45, 30C50, 30C55 |
Issue Date: | 29-Dec-2021 | Abstract: | Let ${\mathcal U}^+$ be the class of analytic functions $f$ such that $\frac{z}{f(z)}$ has real and positive coefficients and $f^{-1}$ be its inverse. In this paper we give sharp estimates of the initial coefficients and initial logarithmic coefficients for $f$, as well as, sharp estimates of the second and the third Hankel determinant for $f$ and $f^{-1}$. We also show that the Zalcman conjecture holds for functions $f$ from ${\mathcal U}^+$. | URI: | http://hdl.handle.net/20.500.12188/30703 |
Appears in Collections: | Faculty of Mechanical Engineering: Journal Articles |
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