Yıldızıl Fonksiyonların ?(?, ?,?, ?, ??) Alt Sınıfının Özellikleri

Bu makalede, açık birim diskte analitik olan ?(?) = ? − ∑ ??? ∞ ? ?=?+1 biçimindeki fonksiyonlar ve ? ? diferansiyel operatörü kullanılarak negatif katsayılı yıldızıl fonksiyonların ?(?, ?, ?, ?) alt sınıfına çalışıldı. ?? ≥ 0 , ?0 ∈ ℝ ve ?(?0) = ?0 olan ?(?, ?, ?, ?, ?0) sınıfını göz önüne alındı. ?(?, ?, ?, ?, ?0) sınıfına ait bazı özellikler elde edildi.

Anahtar Kelimeler:

Ünivalent fonksiyon, Sabit nokta, Yıldızıl, Konveks, Sălăgean operatörü

On Properties of the Subclass P(j,λ,α,n,?0 ) of Starlike Functions

In this paper, we study the subclass P(j,λ,α,n,) of starlike functions and with negative coefficients by using the differential D^n operator and functions of the form f(z)=z-∑_(k=j+1)^∞ 〖a_k which are analytic in the open unit disk. We consider the class P(j,λ,α,n,z_0) for which z_0∈R ve f(z_0 )=z_0 , real where a_k≥0. Some properties belonging to the class P(j,λ,α,n,z_0) are obtained.

Keywords:

Univalent function, Fixed point, Starlike, Convex, Sălăgean operator,

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