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Journals / Eastern Anatolian Journal of Science / 2026 / Volume: 12 Issue: 1

Upper Bound Estimate of the Second Hankel Determinant for Certain Subclass of Starlike Functions Associated with -Analogue of the Exponential Function with Complex Order

Nizami Mustafa(Kafkas University)0000-0002-2758-0274
Veysel Nezir(Kafkas University)0000-0001-9640-8526
Pages
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Publication Date
2026-10-18
DOI
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AI Summary & Key Takeaways

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

Moreover, some known results depending on parameter q choices are also discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, by making the use q -analogous of the exponential function, a new subclass of univalent functions is defined.
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Key Findings & Data:The aim of this study is to find an upper bound estimate for the second Hankel determinant of functions belonging to the defined class.
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Conclusion & Impact:Moreover, some known results depending on parameter q choices are also discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Zalcman conjecture · analytic functions · univalent functions

Abstract

In this study, by making the use q -analogous of the exponential function, a new subclass of univalent functions is defined. The aim of this study is to find an upper bound estimate for the second Hankel determinant of functions belonging to the defined class. Also, in this study we examine the Zalcman conjecture for the defined class. Moreover, some known results depending on parameter q choices are also discussed.

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Cite This Article

Mustafa, N., Nezir, V. (2026). Upper Bound Estimate of the Second Hankel Determinant for Certain Subclass of Starlike Functions Associated with -Analogue of the Exponential Function with Complex Order. Eastern Anatolian Journal of Science, Volume: 12 Issue: 1. https://ajindex.com/articles/1475617

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