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- W3157545041 abstract "By using the subordination relation $prec$, we introduce an interesting subclass of analytic functions as follows: begin{equation*} mathcal{S}^*_{alpha}:=left{fin mathcal{A}:frac{zf'(z)}{f(z)}prec frac{1}{(1-z)^alpha}, |z|<1right}, end{equation*} where $0<alphaleq1$ and $mathcal{A}$ denotes the class of analytic and normalized functions in the unit disk $|z|<1$. In the present paper, by the class $mathcal{S}^*_{alpha}$ and by the Nunokawa lemma we generalize a famous result connected to starlike functions of order $1/2$. Also, coefficients inequality and logarithmic coefficients inequality for functions of the class $mathcal{S}^*_{alpha}$ are obtained." @default.
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- W3157545041 date "2021-02-01" @default.
- W3157545041 modified "2023-09-24" @default.
- W3157545041 title "New subclass of analytic functions defined by subordination" @default.
- W3157545041 doi "https://doi.org/10.22075/ijnaa.2018.13582.1706" @default.
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