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

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 coeff...

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Bibliographic Details
Published inAxioms Vol. 11; no. 9; p. 451
Main Authors Al-Shbeil, Isra, Wanas, Abbas Kareem, Saliu, Afis, Cătaş, Adriana
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2022
Subjects
beta negative binomial distribution
bi-univalent function
Binomial distribution
coefficient bound
Conflicts of interest
Convex analysis
Convex functions
Fekete–Szegő problem
Functions (mathematics)
Inequality
Laguerre polynomial
Mathematical analysis
Mathematical research
Polynomials
Random variables
subordination
Symmetry
Jordan
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Summary: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms11090451