Coefficient Bounds for Certain Classes of Analytic Functions Associated with Faber Polynomial
Adel A. Attiya, A. Y. Lashin, Ekram E. Ali, Praveen Agarwal
Abstract
In this paper, we intorduce a family of analytic functions in the open unit disk which is bi-univalent. By the virtue of the Faber polynomial expansions, the estimation of n−th(n≥3) Taylor–Maclaurin coefficients an is obtained. Furthermore, the bounds value of the first two coefficients of such functions is established.
Topics & Concepts
PolynomialMathematicsAnalytic functionUnit diskTaylor seriesValue (mathematics)Applied mathematicsPure mathematicsCombinatoricsMathematical analysisStatisticsAnalytic and geometric function theoryHolomorphic and Operator TheoryMathematical functions and polynomials