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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 73 Issue: 3

On a class of bi-univalent functions of complex order related to Faber polynomials and q-Sălăgean operator

Zeinab Nsar(Higher Technological Institute)0009-0009-1202-7714
A. O. Mostafa(Faculty of Science, Mansoura University)0000-0002-3911-0990
Samar Mohamed(Higher Engineering Technological)0000-0001-7490-9901
Pages
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Publication Date
2024-09-27
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AI Summary & Key Takeaways

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

Furthermore, using the Faber polynomial expansions, we get upper bounds for the coefficients of function belonging to this class.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we define a new class of bi-univalent functions of complex order $∑_{q}ⁿ(τ,ζ;φ)$ which is defined by subordination in the open unit disc $D$.
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Key Findings & Data:By using $D_{q}ⁿϜ(ς)$ operator.
💡
Conclusion & Impact:Furthermore, using the Faber polynomial expansions, we get upper bounds for the coefficients of function belonging to this class.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic functions · bi-univalent functions · coefficient bounds

Abstract

In this paper, we define a new class of bi-univalent functions of complex order $∑_{q}ⁿ(τ,ζ;φ)$ which is defined by subordination in the open unit disc $D$. By using $D_{q}ⁿϜ(ς)$ operator. Furthermore, using the Faber polynomial expansions, we get upper bounds for the coefficients of function belonging to this class.

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Cite This Article

Nsar, Z., Mostafa, A. O., Mohamed, S. (2024). On a class of bi-univalent functions of complex order related to Faber polynomials and q-Sălăgean operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 73 Issue: 3. https://doi.org/10.31801/cfsuasmas.1346024

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