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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 5

On fourth Hankel determinant for functions associated with Bernoulli’s lemniscate

Mohsan RAZA
Muhammad ARİF
Teodor BULBOACA
Sadaf UMAR
Muhammad Umar FAROOQ
Hasan KHAN
Pages
1777–1787
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

The key tools in the proof of our main results are the coefficient inequalities for class P of functions with positive real part.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is to find an upper bound of the fourth Hankel determinant H4(1) for a subclass of analytic functions associated with the right half of the Bernoulli’s lemniscate of the form (x2 + y2)2−2 (x2 − y2) = 0.
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Key Findings & Data:The problem is also discussed for 2-fold and 3-fold symmetric functions.
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Conclusion & Impact:The key tools in the proof of our main results are the coefficient inequalities for class P of functions with positive real part.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The aim of this paper is to find an upper bound of the fourth Hankel determinant H4(1) for a subclass of analytic functions associated with the right half of the Bernoulli’s lemniscate of the form (x2 + y2)2−2 (x2 − y2) = 0. The problem is also discussed for 2-fold and 3-fold symmetric functions. The key tools in the proof of our main results are the coefficient inequalities for class P of functions with positive real part.

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Cite This Article

RAZA, M., ARİF, M., BULBOACA, T., UMAR, S., FAROOQ, M. U., KHAN, H. (2022). On fourth Hankel determinant for functions associated with Bernoulli’s lemniscate. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 5, 1777–1787. https://ajindex.com/articles/529682

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