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Journals / Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2016 / Cilt: 20 Sayı: 3

On The Fekete-Szegö Problem for Generalized Class <i>M</i>α,γ(β) Defined By Differential Operator

Fethiye Müge Sakar
Sultan Aytaş
Hatun Özlem Güney
Pages
456–459
Publication Date
2016-11-11
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

For |a 3 -μa 2 2 |, a sharp maximum value is provided through the classes of S * α,γ (β) order β and type α under the condition of μ≥1.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study the classical Fekete-Szegö problem was investigated.
📊
Key Findings & Data:Given f(z)=z+a 2 z 2 +a 3 z 3 +... to be an analytic standartly normalized function in the open unit disk U={z ∈ C : |z|<1}.
💡
Conclusion & Impact:For |a 3 -μa 2 2 |, a sharp maximum value is provided through the classes of S * α,γ (β) order β and type α under the condition of μ≥1.
🔬Design:Makale
📍Scope:Comprehensive Sample
⚙️Variables:Univalent functions · Analytic · Starlike

Özet

In this study the classical Fekete-Szegö problem was investigated. Given f(z)=z+a 2 z 2 +a 3 z 3 +... to be an analytic standartly normalized function in the open unit disk U={z ∈ C : |z|<1}. For |a 3 -μa 2 2 |, a sharp maximum value is provided through the classes of S * α,γ (β) order β and type α under the condition of μ≥1.

🔖

Cite This Article

Sakar, F. M., Aytaş, S., Güney, H. Ö. (2016). On The Fekete-Szegö Problem for Generalized Class <i>M</i>α,γ(β) Defined By Differential Operator. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 20 Sayı: 3, 456–459. https://doi.org/10.19113/sdufbed.12069

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