An application of the Mittag-Leffler-type Borel distribution and Gegenbauer polynomials on a certain subclass of bi-univalent functions
Abdulmtalb Hussen
Abstract
The Mittag-Leffler-type Borel distribution is widely recognized and utilized as a beneficial and pertinent model across numerous applications. This study presents a new subclass of normalized analytic bi-univalent functions that combines Gegenbauer polynomials and the Mittag-Leffler-type Borel distribution. Employing this subclass enables us to derive novel approximations for Taylor-Maclaurin coefficients, \| a 2 \| and \| a 3 \| , as well as delve into the investigation of the Fekete-Szegö functional. Additionally, we explore a variety of new findings that arise through the specialization of parameters in our primary results.
Topics & Concepts
SubclassMathematicsType (biology)Distribution (mathematics)Pure mathematicsDifference polynomialsGegenbauer polynomialsWilson polynomialsClassical orthogonal polynomialsOrthogonal polynomialsCombinatoricsAlgebra over a fieldMathematical analysisBiologyAntibodyEcologyImmunologyAnalytic and geometric function theoryDifferential Equations and Boundary ProblemsMathematical functions and polynomials