
arXiv: 1411.5217
For $��\geq 0$, $��>0$, $��<1$ and $��\geq 0$, the class $\mathcal{W}_��^��(��,��)$ consist of analytic and normalized functions $f$ along with the condition \begin{align*} {\rm Re\,} e^{i��}(\dfrac{}{}(1\!-\!��\!+\!2��)\!({f}/{z})^��+(��\!-\!3��\!+\!��[\dfrac{}{}(1-{1}/��)({zf'}/{f})+ {1}/��(1+{zf''}/{f'})]).\\ .\dfrac{}{}({f}/{z})^��\!({zf'}/{f})-��)>0, \end{align*} where $��\in\mathbb{R}$ and $|z|<1$, is taken into consideration. The class $\mathcal{S}^\ast_s(��)$ be the subclass of the univalent functions, defined by the analytic characterization ${\rm Re}{\,}({zf'}/{f})>��$, for $0\leq ��< 1$, $0
24 pages
Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV)
Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV)
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