Dergiler / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 2

Generalized uniformly close-to-convex functions of order γ and type β

Sayfa
173–182
Yayın Tarihi
2014-04-01
DOI
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A subclass of uniformly quasi-convex functions is also studied.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, a class of analytic functions f defined on the open unit disc satisfying Re z(D n,α λ f(z))0 D n,α λ g(z) > β z(D n,α λ f(z))0 D n,α λ g(z) − 1 + γ, is studied, where β ≥ 0, −1 ≤ γ < 1, β + γ ≥ 0. and g is a certain analytic function associated with conic domains.
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Temel Bulgular & Veri:Among other results, inclusion relations and the coefficients bound are studied.
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Sonuç & Katkı:A subclass of uniformly quasi-convex functions is also studied.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Univalent functions · uniformly close-to-convex · uniformly quasiconvex

Abstract

In this paper, a class of analytic functions f defined on the open unit disc satisfying Re z(D n,α λ f(z))0 D n,α λ g(z) > β z(D n,α λ f(z))0 D n,α λ g(z) − 1 + γ, is studied, where β ≥ 0, −1 ≤ γ < 1, β + γ ≥ 0. and g is a certain analytic function associated with conic domains. Among other results, inclusion relations and the coefficients bound are studied. Various known special cases of these results are pointed out. A subclass of uniformly quasi-convex functions is also studied.

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Bu Makaleye Atıf Yap

AL-OBOUDİ, F. (2014). Generalized uniformly close-to-convex functions of order γ and type β. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 2, 173–182. https://ajindex.com/articles/669576

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