Starlike functions of complex order with bounded radius rotation by using quantum calculus
Mathematica Moravica, Tome 22 (2018) no. 2.

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In the present paper, we study on the subclass of starlike functions of complex order with bounded radius rotation using $q-$ difference operator denoted by $\mathcal{R}_{k}(q, b)$ where $k\geq2$, $q\in(0,1)$ and $b\in\mathbb{C}\backslash \{0\}$. We investigate coefficient inequality, distortion theorem and radius of starlikeness for the class $\mathcal{R}_{k}(q, b)$.
Mots-clés : q-starlike function of complex order, bounded radius rotation, coefficient inequality, distortion theorem, radius of starlikeness 
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     author = {Asena \c{C}etinkaya and Oya Mert},
     title = {Starlike functions of complex order with bounded radius rotation by using quantum calculus},
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Asena Çetinkaya; Oya Mert. Starlike functions of complex order with bounded radius rotation by using quantum calculus. Mathematica Moravica, Tome 22 (2018) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2018_22_2_a6/