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Multivalued starlike functions of complex order

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Tarih
2008
Yazarlar
Polatoğlu, Yaşar
Yavuz, Emel
Çağlar, Mert
Owa, Shigeyoshi
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Yayımcı
Araştırma Projeleri
Organizasyon Birimleri
Dergi Sayısı
Özet
Let S ∗ λ (1−b)(b 6= 0, complex) denote the class of functions f(z) = z+a2z 2+· · · analytic in the open unit disc D = {z ∈ C
z| < 1} which satisfy for z = reiθ ∈ D, f(z) z 6= 0 and Re · 1 + 1 b µ z (Dλ f(z))′ D λ f(z) − 1 ¶¸ > 0 (0 ≤ λ < 1), where Dλ f(z) = Γ(2 − λ)z λD λ z f(z) and Dλ z f(z) is the fractional derivative of f(z). The aim of this paper is to investigate certain properties of the mentioned above class.
Açıklama
Anahtar kelimeler
starlike functions of complex order, fractional integral, fractional derivative, distortion theorem, coefficient inequality
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