On Strongly Starlike Functions Related to the Bernoulli Lemniscate
نویسندگان
چکیده
Let $\mathcal{S}^{\ast}_{L}(\lambda)$ be the class of functions $f$, analytic in unit disc $\Delta=\{z:|z|<1\}$, with normalization $f(0)=f'(0)-1=0$, which satisfy condition\begin{equation*}\frac{zf'(z)}{f(z)}\prec \left(1+z\right)^{\lambda},\end{equation*}where $\prec$ is subordination relation. The a subfamily known strongly starlike order $\lambda$. In this paper,the relations between and other classes geometrically defined are considered. Also, we obtain some characteristics such as, bounds for coefficients, radius convexity, Fekete-Szeg\"{o} inequality, logarithmic coefficients second Hankel determinant inequality belonging to class. univalent $f$ condition\begin{equation*}\Re\left\{1+\frac{zf''(z)}{f'(z)}\right\}<1+\frac{\lambda}{2},\qquad(z \in \Delta)\end{equation*}are also considered here.
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2022
ISSN: ['0049-2930', '2073-9826']
DOI: https://doi.org/10.5556/j.tkjm.53.2022.3234