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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2021 / Volume: 70 Issue: 2

On certain subclass of univalent functions of complex order associated with Pascal distribution series

Bilal Şeker(DICLE UNIVERSITY)0000-0003-1777-8145
Sevtap Sümer Eker(DICLE UNIVERSITY)0000-0002-2573-0726
Pages
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Publication Date
2021-12-31
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We also determined some conditions by considering the integral operator for these functions.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, by establishing a connection between normalized univalent functions in the unit disc and Pascal distribution series, we have obtained the necessary and sufficient conditions for these functions to belong to some subclasses of univalent functions of complex-order.
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Key Findings & Data:In this study, by establishing a connection between normalized univalent functions in the unit disc and Pascal distribution series, we have obtained the necessary and sufficient conditions for these functions to belong to some subclasses of univalent functions of complex-order.
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Conclusion & Impact:We also determined some conditions by considering the integral operator for these functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:univalent functions · complex order · Pascal distribution

Abstract

In this study, by establishing a connection between normalized univalent functions in the unit disc and Pascal distribution series, we have obtained the necessary and sufficient conditions for these functions to belong to some subclasses of univalent functions of complex-order. We also determined some conditions by considering the integral operator for these functions.

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Cite This Article

Şeker, B., Eker, S. S. (2021). On certain subclass of univalent functions of complex order associated with Pascal distribution series. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 70 Issue: 2. https://doi.org/10.31801/cfsuasmas.844259

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