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Journals / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 2

Generalized uniformly close-to-convex functions of order ? and type ?

F.M. AL-OBOUDİ
Pages
173–182
Publication Date
2022-10-18
DOI
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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

🎯
Objective & Hypothesis:In this paper, a class of analytic functions f defined on the open unit disc satisfying Re z(Dn,??f(z))0Dn,??g(z)> ?z(Dn,??f(z))0Dn,??g(z)- 1+ ?, is studied, where ? >= 0, -1 = 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.
💡
Conclusion & Impact:A subclass of uniformly quasi-convex functions is also studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, a class of analytic functions f defined on the open unit disc satisfying Re z(Dn,??f(z))0Dn,??g(z)> ?z(Dn,??f(z))0Dn,??g(z)- 1+ ?, is studied, where ? >= 0, -1 = 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. (2022). Generalized uniformly close-to-convex functions of order ? and type ?. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 2, 173–182. https://ajindex.com/articles/530338

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