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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
A subclass of uniformly quasi-convex functions is also studied.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, a class of analytic functions f defined on the open unit disc satisfying Re z(D n,α λ f(z))0 D n,α λ g(z) > β z(D n,α λ f(z))0 D n,α λ g(z) − 1 + γ, is studied, where β ≥ 0, −1 ≤ γ < 1, β + γ ≥ 0. and g is a certain analytic function associated with conic domains.
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Key Findings & Data:Among other results, inclusion relations and the coefficients bound are studied.
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Conclusion & Impact:A subclass of uniformly quasi-convex functions is also studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Univalent functions · uniformly close-to-convex · uniformly quasiconvex
Abstract
In this paper, a class of analytic functions f defined on the open unit disc satisfying Re z(D n,α λ f(z))0 D n,α λ g(z) > β z(D n,α λ f(z))0 D n,α λ g(z) − 1 + γ, is studied, where β ≥ 0, −1 ≤ γ < 1, β + γ ≥ 0. and g is a certain analytic function associated with conic domains. Among other results, inclusion relations and the coefficients bound are studied. Various known special cases of these results are pointed out. A subclass of uniformly quasi-convex functions is also studied.
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Cite This Article
AL-OBOUDİ, F. (2014). Generalized uniformly close-to-convex functions of order γ and type β. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 2, 173–182. https://ajindex.com/articles/669576