Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi-Univalent Functions Involving Gegenbauer Polynomials
Ala Amourah, Mohammad W. Alomari, Feras Yousef, Abdullah Alsoboh
Abstract
In this work, we introduce and investigate a new subclass of analytic bi-univalent functions based on subordination conditions between the zero-truncated Poisson distribution and Gegenbauer polynomials. More precisely, we will estimate the first two initial Taylor–Maclaurin coefficients and solve the Fekete–Szegö functional problem for functions belonging to this new subclass.
Topics & Concepts
Subordination (linguistics)SubclassMathematicsPure mathematicsPoisson distributionGegenbauer polynomialsHypergeometric functionDistribution (mathematics)Classical orthogonal polynomialsOrthogonal polynomialsMathematical analysisStatisticsBiologyAntibodyLinguisticsImmunologyPhilosophyAnalytic and geometric function theoryMathematical functions and polynomialsHolomorphic and Operator Theory