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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
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 Key Takeaways
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Objective & Hypothesis: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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Key Findings & Data: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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Conclusion & Impact: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 $q(z)=\sqrt{1+z^2}+z$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article
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