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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The results presented here generalize some of the earlier studies.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, we construct a new subclass of $m$-fold symmetric bi-univalent functions using by Hadamard product and generalized Salagean differential operator in the open unit disk $U=\left\{ z\in \mathbb{C} :\left\vert z\right\vert <1\right\} $.
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Key Findings & Data:We establish upper bounds for the coefficients $\left\vert a_{m+1}\right\vert $ and $\left\vert a_{2m+1}\right\vert $ belonging to this new class.
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Conclusion & Impact:The results presented here generalize some of the earlier studies.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Coefficient estimates · bi-univalent functions · m-fold symmetric functions
Abstract
In this study, we construct a new subclass of $m$-fold symmetric bi-univalent functions using by Hadamard product and generalized Salagean differential operator in the open unit disk $U=\left\{ z\in \mathbb{C} :\left\vert z\right\vert <1\right\} $. We establish upper bounds for the coefficients $\left\vert a_{m+1}\right\vert $ and $\left\vert a_{2m+1}\right\vert $ belonging to this new class. The results presented here generalize some of the earlier studies.
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Cite This Article
SAKAR, F. M., AYDOĞAN, S. M., ALTINKAYA, Ş. (2019). Coefficient Bounds for a Subclass of $m$-fold Symmetric Bi-univalent Functions Involving Hadamard Product and Differential Operator. Conference Proceedings of Science and Technology, Cilt: 2 Sayı: 1, 9–12. https://ajindex.com/articles/984385