SECOND HANKEL DETERMINANT OF LOGARITHMIC COEFFICIENTS OF CONVEX AND STARLIKE FUNCTIONS
Bogumiła Kowalczyk, Adam Lecko
Abstract
Abstract We begin the study of Hankel matrices whose entries are logarithmic coefficients of univalent functions and give sharp bounds for the second Hankel determinant of logarithmic coefficients of convex and starlike functions.
Topics & Concepts
MathematicsLogarithmRegular polygonHankel matrixLogarithmic derivativeConvex functionPure mathematicsMathematical analysisCombinatoricsGeometryAnalytic and geometric function theoryPolymer Synthesis and CharacterizationHolomorphic and Operator Theory