An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions
Feras Yousef, Ala Amourah, Basem Aref Frasin, Teodor Bulboacă
Abstract
The zero-truncated Poisson distribution is an important and appropriate model for many real-world applications. Here, we exploit the zero-truncated Poisson distribution probabilities to construct a new subclass of analytic bi-univalent functions involving Gegenbauer polynomials. For functions in the constructed class, we explore estimates of Taylor–Maclaurin coefficients a2 and a3, and next, we solve the Fekete–Szegő functional problem. A number of new interesting results are presented to follow upon specializing the parameters involved in our main results.
Topics & Concepts
Analytic functionPoisson distributionClass (philosophy)MathematicsZero (linguistics)Distribution (mathematics)Pure mathematicsConstruct (python library)Applied mathematicsAlgebra over a fieldMathematical analysisComputer scienceStatisticsArtificial intelligenceLinguisticsProgramming languagePhilosophyAnalytic and geometric function theoryMathematical functions and polynomialsHolomorphic and Operator Theory