Properties of λ-Pseudo-Starlike Functions of Complex Order Defined by Subordination
Kadhavoor R. Karthikeyan, G. Murugusundaramoorthy, Teodor Bulboacă
Abstract
In this paper, we defined a new class of λ-pseudo-Bazilevič functions of complex order using subordination. Various classes of analytic functions that map unit discs onto a conic domain and some classes of special functions were studied in dual. Some subordination results, inequalities for the initial Taylor–Maclaurin coefficients and the unified solution of the Fekete–Szegő problem for subclasses of analytic functions related to various conic regions, are our main results. Our main results have many applications which are presented in the form of corollaries.
Topics & Concepts
Subordination (linguistics)Conic sectionAnalytic functionMathematicsUnit diskOrder (exchange)Domain (mathematical analysis)Class (philosophy)Pure mathematicsMathematical analysisComputer scienceGeometryArtificial intelligenceLinguisticsPhilosophyFinanceEconomicsAnalytic and geometric function theoryHolomorphic and Operator TheoryPharmacological Effects of Medicinal Plants