Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions
Isra Al-Shbeil, Abbas Kareem Wanas, Afis Saliu, Adriana Cătaş
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.
Topics & Concepts
Laguerre polynomialsMathematicsHolomorphic functionNegative binomial distributionBETA (programming language)Regular polygonDistribution (mathematics)Binomial coefficientTaylor seriesPure mathematicsMathematical analysisCombinatoricsStatisticsGeometryPoisson distributionComputer scienceProgramming languageAnalytic and geometric function theoryHolomorphic and Operator TheoryMathematical Inequalities and Applications