Applications of (M,N)-Lucas Polynomials on a Certain Family of Bi-Univalent Functions
Abbas Kareem Wanas, Luminiţa-Ioana Cotîrlă
Abstract
In the current article, making use of certain operator, we initiate and explore a certain family WΣ(λ,γ,σ,δ,α,β,p,q;h) of holomorphic and bi-univalent functions in the open unit disk D. We establish upper bounds for the initial Taylor–Maclaurin coefficients and the Fekete–Szegö type inequality for functions in this family.
Topics & Concepts
Unit diskHolomorphic functionMathematicsOperator (biology)Pure mathematicsType (biology)InequalityCombinatoricsAlgebra over a fieldDiscrete mathematicsMathematical analysisChemistryBiologyTranscription factorBiochemistryEcologyGeneRepressorAnalytic and geometric function theoryHolomorphic and Operator TheoryDifferential Equations and Boundary Problems