Publication: Some Results of the Carathedory's Class
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Abstract
Bu çalışmada caratheodory sınıfı üzerine bazı sonuçları araştırırız. f(z)=1+p₁z+p₂z²+p₃z³+… fonksiyonu birim dairede analitik olsun ve f(0)=1,Re f(z)≥0, koşullarını gerçeklesin bu durumda f(z) fonksiyonu Caratheodory fonksiyonu olarak adlandırılır.
In this paper we investigate some results on the Caratheodory’s class. Let f(z)=1+p₁z+p₂z²+p₃z³+… be analytic in the unit disc D={z/|z|≤1}, and satisfying the conditions f(0)=1,Re f(z)≥0, then the function f(z) is called the Caratheodory function.
In this paper we investigate some results on the Caratheodory’s class. Let f(z)=1+p₁z+p₂z²+p₃z³+… be analytic in the unit disc D={z/|z|≤1}, and satisfying the conditions f(0)=1,Re f(z)≥0, then the function f(z) is called the Caratheodory function.