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Journals / TWMS Journal of Applied and Engineering Mathematics / 2025 / Volume: 15 Issue: 12

COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

Ayyub Gorganli Davaji(Shahrood University of Technology)0009-0000-6842-1897
Ahmad Motamednezhad(Shahrood University of Technology)0000-0001-6844-129X
Safa Salehian(Islamic Azad University)0000-0003-2562-7531
Pages
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Publication Date
2025-12-06
DOI
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AI Summary & Key Takeaways

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

The results presented in this paper would generalize and improve some recent works of several earlier authors.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper introduces a novel subclass of $m$-fold symmetric bi-univalent functions denoted as $\mathcal{S}_{\Sigma_m}^{h.p}$.
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Key Findings & Data:Precise coefficient estimates for terms $|a_{m+1}| , |a_{2m+1}|$ and the Fekete-Szegö functional are derived for functions belonging to this subclass.
💡
Conclusion & Impact:The results presented in this paper would generalize and improve some recent works of several earlier authors.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Coefficient estimates · $m$-fold symmetric bi-univalent functions · Fekete-Szegö functional problems

Abstract

This paper introduces a novel subclass of $m$-fold symmetric bi-univalent functions denoted as $\mathcal{S}_{\Sigma_m}^{h.p}$. Precise coefficient estimates for terms $|a_{m+1}| , |a_{2m+1}|$ and the Fekete-Szegö functional are derived for functions belonging to this subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.

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Cite This Article

Davaji, A. G., Motamednezhad, A., Salehian, S. (2025). COEFFICIENT BOUNDS AND FEKETE-SZEGÖ FUNCTIONAL PROBLEM FOR A NEW SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics, Volume: 15 Issue: 12. https://ajindex.com/articles/1604277

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References (20)

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