The second and third Hankel determinants for starlike and convex functions associated with Three-Leaf function
Amina Riaz, Mohsan Raza, Muhammad Ahsan Binyamin, Afis Saliu
Abstract
In this paper, we give sharp bounds of the Hankel determinant H 2 \( 3 \) \( f \) for the coefficients of functions in the class of starlike functions related to a domain that is like three leaves. We also give sharp bounds for the Hankel determinants H 3 \( 1 \) \( f \) and H 2 \( 3 \) \( f \) for the coefficients of functions in the class of convex functions related to the three-leaf-like domain.
Topics & Concepts
MathematicsClass (philosophy)Domain (mathematical analysis)Convex functionFunction (biology)Convex domainRegular polygonHankel transformCombinatoricsPure mathematicsMathematical analysisBessel functionComputer scienceGeometryEvolutionary biologyArtificial intelligenceBiologyAnalytic and geometric function theoryHolomorphic and Operator TheoryCrystal Structures and Properties