Some Results on Important Inequalities for Univalent Functions with Positive and Negative Coefficients

Yıl 2023, Cilt: 11 Sayı: 1, 258 - 263, 31.01.2023

Alaattin Akyar

https://doi.org/10.29130/dubited.1077414

Öz

As it is known from Real Analysis, inequalities are used to give the definition of many mathematical concepts formally and to analyze them analytically. Similarly, the geometric characterizations of the range of analytic and univalent functions in the open unit disc U = {z ∈ C : |z| < 1} can be easily analyzed with inequalities and easily classified these functions.

Anahtar Kelimeler

Analytic function, Convex function, Starlike function, Univalent function, Analitik fonksiyon, Konveks fonksiyon, Starlike(yıldızıl) fonksiyon, Univalent(Yalınkat) Fonksiyon.

Some Important Inequalities for Univalent Functions with Positive and Negative Coefficients

Öz

Reel analizden bilindiği gibi, eşitsizlikler birçok matematiksel kavramın tanımını formal olarak vermek ve onları analitik olarak analiz etmek için kullanılır. Benzer olarak birim açık disk U = {z ∈ C : |z| < 1} da analitik ve univalent olan geometrik fonksiyonların görüntü kümeleri eşitsizliklerle kolayca analiz edilebilir ve kolayca bu fonksiyonlar sınıflandırılabilir. 

Anahtar Kelimeler

Analitik fonksiyon, Konveks fonksiyon, Starlike(yıldızıl) fonksiyon

Kaynakça

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