Bi-Bazilevič functions of order $ \vartheta +i\delta $ associated with $ (p, q)- $ Lucas polynomials
Ala Amourah, Basem Aref Frasin, G. Murugusundaramoorthy, Tariq Al-Hawary
Abstract
<abstract> By means of$ (p, q)- $ Lucas polynomials, a class of Bazilevič functions of order $ \vartheta +i\delta $ in the open unit disk $ \mathbb{U} $ of analytic and bi-univalent functions is introduced. Further, we estimate coefficients bounds and Fekete-Szegö inequalities for functions belonging to this class. Several corollaries and consequences of the main results are also obtained. </abstract>
Topics & Concepts
Class (philosophy)MathematicsOrder (exchange)Unit diskCombinatoricsPure mathematicsClassical orthogonal polynomialsOrthogonal polynomialsComputer scienceEconomicsFinanceArtificial intelligenceAnalytic and geometric function theoryPharmacological Effects of Medicinal PlantsPolymer Synthesis and Characterization