Coefficient Estimates for a Subclass of Analytic Functions Associated with a Certain Leaf-Like Domain
Bilal Khan, H. M. Srivastava, Nazar Khan, Maslina Darus, Muhammad Tahir, Qazi Zahoor Ahmad
Abstract
First, by making use of the concept of basic (or q-) calculus, as well as the principle of subordination between analytic functions, generalization Rq(h) of the class R(h) of analytic functions, which are associated with the leaf-like domain in the open unit disk U, is given. Then, the coefficient estimates, the Fekete–Szegö problem, and the second-order Hankel determinant H2(1) for functions belonging to this class Rq(h) are investigated. Furthermore, similar results are examined and presented for the functions zf(z) and f−1(z). For the validity of our results, relevant connections with those in earlier works are also pointed out.
Topics & Concepts
Subordination (linguistics)Analytic functionSubclassUnit diskMathematicsGeneralizationClass (philosophy)Domain (mathematical analysis)Quasi-analytic functionPure mathematicsFunction (biology)Order (exchange)Complex-valued functionMathematical analysisNon-analytic smooth functionCalculus (dental)Global analytic functionComputer scienceMedicineLinguisticsDentistryEconomicsImmunologyBiologyAntibodyArtificial intelligencePhilosophyEvolutionary biologyFinanceAnalytic and geometric function theoryPolymer Synthesis and CharacterizationHolomorphic and Operator Theory