Dergiler / Hacettepe Journal of Mathematics and Statistics / 2015 / Volume: 44 Issue: 6

On coefficient estimates for a certain class of starlike functions

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Yayın Tarihi
2015-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The purpose of this paper is to consider coefficient estimates in a class of functions S ∗ ( q ) consisting of analytic functions f normalized by f (0) = f ′ (0) − 1 = 0 in the open unit disk $\mathbb{U}$ which satisfies the subordination condition that $$zf'(z)/f(z)\prec q(z), z\in \mathbb{U},$$ where $q(z)=\sqrt{1+z^2}+z$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The purpose of this paper is to consider coefficient estimates in a class of functions S ∗ ( q ) consisting of analytic functions f normalized by f (0) = f ′ (0) − 1 = 0 in the open unit disk $\mathbb{U}$ which satisfies the subordination condition that $$zf'(z)/f(z)\prec q(z), z\in \mathbb{U},$$ where $q(z)=\sqrt{1+z^2}+z$.
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Temel Bulgular & Veri:The purpose of this paper is to consider coefficient estimates in a class of functions S ∗ ( q ) consisting of analytic functions f normalized by f (0) = f ′ (0) − 1 = 0 in the open unit disk $\mathbb{U}$ which satisfies the subordination condition that $$zf'(z)/f(z)\prec q(z), z\in \mathbb{U},$$ where $q(z)=\sqrt{1+z^2}+z$.
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Sonuç & Katkı:The purpose of this paper is to consider coefficient estimates in a class of functions S ∗ ( q ) consisting of analytic functions f normalized by f (0) = f ′ (0) − 1 = 0 in the open unit disk $\mathbb{U}$ which satisfies the subordination condition that $$zf'(z)/f(z)\prec q(z), z\in \mathbb{U},$$ where $q(z)=\sqrt{1+z^2}+z$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:analytic functions · convex functions · starlike functions

Abstract

The purpose of this paper is to consider coefficient estimates in a class of functions S ∗ ( q ) consisting of analytic functions f normalized by f (0) = f ′ (0) − 1 = 0 in the open unit disk $\mathbb{U}$ which satisfies the subordination condition that $$zf'(z)/f(z)\prec q(z), z\in \mathbb{U},$$ where $q(z)=\sqrt{1+z^2}+z$.

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Bu Makaleye Atıf Yap

Raina, R. K., Sokol, J. (2015). On coefficient estimates for a certain class of starlike functions. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 6. https://ajindex.com/articles/1403218

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