Faber Polynomial Coefficient Estimates for Janowski Type bi-Close-to-Convex and bi-Quasi-Convex Functions
Shahid Khan, Şahsene Altınkaya, Qin Xin, Fairouz Tchier, Sarfraz Nawaz Malik, Nazar Khan
Abstract
Motivated by the recent work on symmetric analytic functions by using the concept of Faber polynomials, this article introduces and studies two new subclasses of bi-close-to-convex and quasi-close-to-convex functions associated with Janowski functions. By using the Faber polynomial expansion method, it determines the general coefficient bounds for the functions belonging to these classes. It also finds initial coefficients of bi-close-to-convex and bi-quasi-convex functions by using Janowski functions. Some known consequences of the main results are also highlighted.
Topics & Concepts
PolynomialConvex functionRegular polygonMathematicsProper convex functionConvex combinationType (biology)Pure mathematicsCombinatoricsConvex optimizationMathematical analysisGeometryEcologyBiologyAnalytic and geometric function theoryMathematical Inequalities and ApplicationsHolomorphic and Operator Theory