Geometric Properties of Certain Classes of Analytic Functions with Respect to (x,y)-Symmetric Points

Mathematics(2023)

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摘要
In this article, the present study employs the utilization of the concepts pertaining to (x,y)-symmetrical functions, Janowski type functions, and q-calculus in order to establish a novel subclass within the open unit disk. Specifically, we delve into the examination of convolution properties, which serve as a tool for investigating and inferring adequate and equivalent conditions. Moreover, we also explore specific characteristics of the class S˜qx,y(α,β,λ), thereby further scrutinizing the convolution properties of these newly defined classes.
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关键词
analytic functions,(<i>x</i>,<i>y</i>)-symmetrical functions,<i>q</i>-calculus,Hadamard product,(<i>ρ</i>,<i>q</i>)-neighborhood
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