Analitik Fonksiyonların Belirli Bir Sınıfı İçin Fekete-Szegö Problemi Üzerine

Yıl 2022, , 72 - 76, 31.03.2023

Nizami Mustafa , Semra Korkmaz

https://doi.org/10.58688/kujs.1233710

Öz

Bu çalışmada, kompleks düzlemin açık birim diskinde analitik fonksiyonların belirli bir alt sınıfı tanıtılıyor ve inceleniyor. Sonrasında tanıtılan sınıf için katsayı sınır tahminleri verilir ve Fekete-Szegö problemi incelenir. Ayrıca, bulunan sonuçların bazı ilginç özel durumları tartışılır.

Anahtar Kelimeler

Katsayı tahminleri, Fekete-Szegö problemi, Analitik fonksiyon

The Fekete-Szegö Problem for a Certain class of Analytic Functions

Öz

In this study, we introduce and examine a certain subclass of analytic functions in the open unit disk in the complex plane. Here, we give coefficient-bound estimates and investigate the Fekete-Szegö problem for this class. Some interesting special cases of the results obtained here are also discussed.

Anahtar Kelimeler

Coefficient estimates, Fekete-Szegö problem, Analytic function

Kaynakça

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