Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives
Kadhavoor R. Karthikeyan, Sakkarai Lakshmi, Seetharam Varadharajan, Dharmaraj Mohankumar, Elangho Umadevi
Abstract
In this paper, we introduce and study a new subclass of multivalent functions with respect to symmetric points involving higher order derivatives. In order to unify and extend various well-known results, we have defined the class subordinate to a conic region impacted by Janowski functions. We focused on conic regions when it pertained to applications of our main results. Inclusion results, subordination property and coefficient inequality of the defined class are the main results of this paper. The applications of our results which are extensions of those given in earlier works are presented here as corollaries.
Topics & Concepts
Conic sectionSubordination (linguistics)Class (philosophy)MathematicsProperty (philosophy)Order (exchange)SubclassPure mathematicsAlgebra over a fieldComputer scienceGeometryPhilosophyEconomicsAntibodyArtificial intelligenceImmunologyEpistemologyFinanceBiologyLinguisticsAnalytic and geometric function theory