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Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 3

Second Hankel determinant for Mocanu type bi-starlike functions related to shell-shaped region

Nizami MUSTAFA
Gangadharan MURUGUSUNDARAMOORTHY
Pages
1270–1286
Publication Date
2022-11-06
DOI
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AI Summary & Key Takeaways

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

Some interesting special cases of the results are also discussed.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we investigate the coefficient bound estimates, second Hankel determinant, and Fekete–Szegö inequality for the analytic bi-univalent function class, which we call Mocanu type bi-starlike functions, related to a shell-shaped region in the open unit disk in the complex plane.
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Key Findings & Data:In this paper, we investigate the coefficient bound estimates, second Hankel determinant, and Fekete–Szegö inequality for the analytic bi-univalent function class, which we call Mocanu type bi-starlike functions, related to a shell-shaped region in the open unit disk in the complex plane.
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Conclusion & Impact:Some interesting special cases of the results are also discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we investigate the coefficient bound estimates, second Hankel determinant, and Fekete–Szegö inequality for the analytic bi-univalent function class, which we call Mocanu type bi-starlike functions, related to a shell-shaped region in the open unit disk in the complex plane. Some interesting special cases of the results are also discussed.

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Cite This Article

MUSTAFA, N., MURUGUSUNDARAMOORTHY, G. (2022). Second Hankel determinant for Mocanu type bi-starlike functions related to shell-shaped region. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 3, 1270–1286. https://ajindex.com/articles/607432

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