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- W3115809688 abstract "In this paper, we define a new subclass of $k$-uniformly starlike functions of order $gamma, (0leqgamma<1)$ by using certain generalized $q$-integral operator. We explore geometric interpretation of the functions in this class by connecting it with conic domains. We also investigate $q$-sufficient coefficient condition, $q$-Fekete-Szego inequalities, $q$-Bieberbach-De Branges type coefficient estimates and radius problem for functions in this class. We conclude this paper by introducing an analogous subclass of $k$-uniformly convex functions of order $gamma$ by using the generalized $q$-integral operator. We omit the results for this new class because they can be directly translated from the corresponding results of our main class." @default.
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- W3115809688 date "2020-12-26" @default.
- W3115809688 modified "2023-09-27" @default.
- W3115809688 title "Analytic functions with conic domains associated with certain generalized q-integral operator" @default.
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