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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 69 Issue: 1

Simple criteria for univalence and coefficient bounds for a certain subclass of analytic functions

Mostafa Jafari0000-0002-2144-1097
Teodor Bulboaca0000-0001-8026-218X
Ahmad Zireh0000-0002-3405-853X
Ebrahim Analouei Adegani0000-0001-9176-3932
Pages
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Publication Date
2020-06-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In the second part we find upper bounds for coefficients of functions in class $\mathcal{B}_\Sigma^{q,\mu}(\beta,\lambda,h)$ which is defined by fractional $q$-calculus operators.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the first part of this work we present several new geometric properties of analytic functions by applying the differential subordination.
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Key Findings & Data:In addition, several results in the geometric functions theory pointed out.
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Conclusion & Impact:In the second part we find upper bounds for coefficients of functions in class $\mathcal{B}_\Sigma^{q,\mu}(\beta,\lambda,h)$ which is defined by fractional $q$-calculus operators.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Univalent function · differential subordination · starlike functions

Abstract

In the first part of this work we present several new geometric properties of analytic functions by applying the differential subordination. In addition, several results in the geometric functions theory pointed out. In the second part we find upper bounds for coefficients of functions in class $\mathcal{B}_\Sigma^{q,\mu}(\beta,\lambda,h)$ which is defined by fractional $q$-calculus operators.

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Cite This Article

Jafari, M., Bulboaca, T., Zireh, A., Adegani, E. A. (2020). Simple criteria for univalence and coefficient bounds for a certain subclass of analytic functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 1. https://doi.org/10.31801/cfsuasmas.596546

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