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arxiv: 1811.10294 · v1 · pith:HGMPCRUHnew · submitted 2018-11-26 · 🧮 math.CV

On starlike functions related with the convex conic domain

classification 🧮 math.CV
keywords alphabetaclassfunctionsmathcalbelongscoefficientsconcerning
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In the present paper, we study a new subclass $\mathcal{M}_p(\alpha,\beta)$ of $p$--valent functions and obtain some inequalities concerning the coefficients for the desired class. Also, by use of the Hadamard product, we define a general operator and find a condition such that it belongs to the class $\mathcal{M}_p(\alpha,\beta)$.

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