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Journals / Konuralp Journal of Mathematics / 2018 / Volume: 6 Issue: 2

On Subclasses Of Bi-Starlike Functions Defined By Tremblay Fractional Derivative Operator

Sevtap Sümer Eker(Dicle University)0000-0002-2573-0726
Bilal Şeker(Dicle University)
Pages
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Publication Date
2018-10-15
DOI
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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

🎯
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.
📊
Key Findings & Data:Also we obtain upper bounds for the coefficients $|a_{2}|$ and $|a_{3}|$ of functions belonging to these classes.
💡
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, Volume: 6 Issue: 2. https://ajindex.com/articles/1521766

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