The Second Hankel Determinant for Starlike Functions of Orde

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Abstract

Let f be analytic in D={z:|z|<1} with f(0)=0 and f'(0)=1. We give sharp bounds for the second Hankel determinant of f, when f is starlike of order alpha in D.

Coefficient bounds & claims (2)

Machine-extracted from the paper text - useful for cross-referencing, not a verified fact.

coefficient_bound

H2(2) = |a2*a4 - a3^2| ≤ (1 - alpha)**2 for class S*(alpha) (sharp) [Theorem]

function_family

Class S*(alpha): f in S with Re(z*f'(z)/f(z)) > alpha for 0 <= alpha < 1; S*(0) = S* (standard starlike)

2022

Toeplitz determinants whose elements are the coefficients of univalent functions

2017

Logarithmic coefficients of close-to-convex functions

2016

On the Logarithmic Coefficients of Close to Convex Functions

2015

On convex and starlike functions in a sector

1996

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The Second Hankel Determinant for Starlike Functions of Order Alpha

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Coefficient bounds & claims (2)

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