Hankel Determinants and Coefficient Estimates for Starlike Functions Related to Symmetric Booth Lemniscate
Mohsan Raza, Amina Riaz, Qin Xin, Sarfraz Nawaz Malik
Abstract
In this paper, we find Hankel determinants and coefficient bounds for a subclass of starlike functions related to Booth lemniscate. In particular, we obtain the first four sharp coefficient bounds, Hankel determinants of order two and three, and Zalcman conjecture for this class of functions.
Topics & Concepts
ConjectureMathematicsClass (philosophy)Order (exchange)Hankel transformCombinatoricsPure mathematicsMathematical analysisComputer scienceBessel functionFinanceEconomicsArtificial intelligenceAnalytic and geometric function theoryHolomorphic and Operator TheoryCrystal Structures and Properties