Sharp Bounds of Hankel Determinant on Logarithmic Coefficients for Functions of Bounded Turning Associated with Petal-Shaped Domain
Lei Shi, Muhammad Arif, Ayesha Rafiq, Muhammad Abbas, Javed Iqbal
Abstract
The purpose of this article is to obtain the sharp estimates of the first four initial logarithmic coefficients for the class BTs of bounded turning functions associated with a petal-shaped domain. Further, we investigate the sharp estimate of Fekete-Szegö inequality, Zalcman inequality on the logarithmic coefficients and the Hankel determinant H2,1Ff/2 and H2,2Ff/2 for the class BTs with the determinant entry of logarithmic coefficients.
Topics & Concepts
LogarithmBounded functionMathematicsDomain (mathematical analysis)Class (philosophy)Mathematical analysisComputer scienceArtificial intelligenceAnalytic and geometric function theoryHolomorphic and Operator TheoryDifferential Equations and Boundary Problems