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arxiv: 1707.05126 · v2 · pith:KEI5PXWSnew · submitted 2017-07-17 · 🧮 math.CV

The General Subclasses of the Analytic Functions and Their Various Properties

classification 🧮 math.CV
keywords alphabetafunctionsgammaanalyticconditionsgeneralsubclasses
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The object of the present paper is to introduce and investigate two new general subclasses ${{S}^{*}}C(\alpha ,\beta ;\gamma )$ and $T{{S}^{*}}C(\alpha ,\beta ;\gamma )~~(\alpha, \beta \in [0,1),~\gamma \in [0,1])$ of the analytic functions. Here, we give sufficient conditions as well as necessary and sufficient conditions for the functions belonging to the classes.

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