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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 6

On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings

Yong Sun
Zhi-Gang Wang
Antti Rasila
Pages
1695–1705
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Connections of the results presented here to those that can be found in the literature are also discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we obtain the upper bounds to the third Hankel determinants for convex functions of order $\alpha$ and bounded turning functions of order $\alpha$.
📊
Key Findings & Data:Furthermore, several relevant results on a new subclass of close-to-convex harmonic mappings are obtained.
💡
Conclusion & Impact:Connections of the results presented here to those that can be found in the literature are also discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Univalent function · starlike function · convex function

Abstract

In this paper, we obtain the upper bounds to the third Hankel determinants for convex functions of order $\alpha$ and bounded turning functions of order $\alpha$. Furthermore, several relevant results on a new subclass of close-to-convex harmonic mappings are obtained. Connections of the results presented here to those that can be found in the literature are also discussed.

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Cite This Article

Sun, Y., Wang, Z., Rasila, A. (2022). On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 6, 1695–1705. https://ajindex.com/articles/529714

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