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Coefficient and Fekete-Szeg\"o problem estimates for certain subclass of analytic and bi-univalent functions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mahzoon, Hesam |
| Copyright Year | 2019 |
| Abstract | In this paper, we obtain the Fekete-Szego problem for the $k$-th $(k\geq1)$ root transform of the analytic and normalized functions $f$ satisfying the condition \begin{equation*} 1+\frac{\alpha-\pi}{2 \sin \alpha}< {\rm Re}\left\{\frac{zf'(z)}{f(z)}\right\} < 1+\frac{\alpha}{2\sin \alpha} \quad (|z|<1), \end{equation*} where $\pi/2\leq \alpha<\pi$. Afterwards, by the above two-sided inequality we introduce and investigate a certain subclass of analytic and bi-univalent functions in the disk $|z|<1$ and obtain upper bounds for the first few coefficients and Fekete-Szego problem for functions belonging to this analytic and bi-univalent function class. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/1905.08600v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
