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Axioms
Article . 2022 . Peer-reviewed
License: CC BY
Full-Text: https://www.mdpi.com/2075-1680/11/9/451/pdf
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Axioms
Article . 2022 . Peer-reviewed
License: CC BY
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Article . 2022
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Article . 2022
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Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions

descriptionPublicationkeyboard_double_arrow_right Article 02 Sep 2022 English Publisher:MDPI AGJournal:Axioms, volume 11, page 451 (eissn: 2075-1680, Copyright policy )
Authors: Isra Al-Shbeil; Abbas Kareem Wanas; Afis Saliu; Adriana Catas;

doi: 10.3390/axioms11090451

Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions

Abstract

In the present paper, due to beta negative binomial distribution series and Laguerre polynomials, we investigate a new family FΣ(δ,η,λ,θ;h) of normalized holomorphic and bi-univalent functions associated with Ozaki close-to-convex functions. We provide estimates on the initial Taylor–Maclaurin coefficients and discuss Fekete–Szegő type inequality for functions in this family.

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Keywords

coefficient bound, bi-univalent function, Laguerre polynomial, QA1-939, beta negative binomial distribution, subordination, Fekete–Szegő problem, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Top 10%
Top 10%
Top 10%
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