Dergiler / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 6

On coefficient estimates for a certain class of starlike functions

Sayfa
1427–1433
Yayın Tarihi
2022-10-18
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:Araştırma Makalesi
📍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., Sokół, J. (2022). On coefficient estimates for a certain class of starlike functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 6, 1427–1433. https://ajindex.com/articles/530306

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