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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Theorems proved in this paper generalizes the results given in [3].
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we introduce and investigate new subclasses of strongly bi-starlike and bi-starlike functions defined by Tremblay fractional derivative operator in the open unit disk.
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Key Findings & Data:Also we obtain upper bounds for the coefficients $|a_{2}|$ and $|a_{3}|$ of functions belonging to these classes.
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Conclusion & Impact:Theorems proved in this paper generalizes the results given in [3].
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:bi-starlike functions · Coefficient bounds and coefficient estimates · Fractional derivative
Abstract
In this paper, we introduce and investigate new subclasses of strongly bi-starlike and bi-starlike functions defined by Tremblay fractional derivative operator in the open unit disk. Also we obtain upper bounds for the coefficients $|a_{2}|$ and $|a_{3}|$ of functions belonging to these classes. Unlike recent studies, we use different technique for obtain the upper bounds on the coefficients $|a_{3}|$. Theorems proved in this paper generalizes the results given in [3].
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Cite This Article
EKER, S. S., ŞEKER, B. (2018). On Subclasses Of Bi-Starlike Functions Defined By Tremblay Fractional Derivative Operator. Konuralp Journal of Mathematics, Cilt: 6 - Sayı: 2, 226–232. https://ajindex.com/articles/786552