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Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 6

On certain subclasses of starlike and convex functions associated with Pascal distribution series

Bilal ŞEKER
Sevtap SÜMER EKER
Pages
1982–1989
Publication Date
2022-11-01
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Moreover, we obtained sufficient conditions such that these mappings belong to some subclass of univalent functions.

📌 3 Key Takeaways

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Objective & Hypothesis:In this article, we introduced a new power series whose coefficients are probabilities of the Pascal distribution.
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Key Findings & Data:We investigated new approaches between the Pascal distribution series and some subclasses of normalized analytic functions.
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Conclusion & Impact:Moreover, we obtained sufficient conditions such that these mappings belong to some subclass of univalent functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this article, we introduced a new power series whose coefficients are probabilities of the Pascal distribution. We investigated new approaches between the Pascal distribution series and some subclasses of normalized analytic functions. Also, we defined some mappings containing these functions the Alexander type integral operator. Moreover, we obtained sufficient conditions such that these mappings belong to some subclass of univalent functions.

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Cite This Article

ŞEKER, B., EKER, S. S. (2022). On certain subclasses of starlike and convex functions associated with Pascal distribution series. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 6, 1982–1989. https://ajindex.com/articles/607477

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