Estimates, some sharp, are obtained for the moduli of initial logarithmic coefficients of inverses of univalent functions in the unit disk, plus differences between consecutive coefficients, with convex case handled separately.
De Branges, A proof of the Bieberbach conjecture, Acta Math.,154, 1-2 (1985), 137–152
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Upper bounds are derived via Grunsky coefficients for the moduli of initial coefficients, consecutive coefficient modulus differences, initial logarithmic coefficients, and the second Hankel determinant in the class of normalized bi-univalent functions.
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On some properties of logarithmic coefficients of inverse of univalent functions
Estimates, some sharp, are obtained for the moduli of initial logarithmic coefficients of inverses of univalent functions in the unit disk, plus differences between consecutive coefficients, with convex case handled separately.
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On some properties of bi-univalent functions in the unit disc
Upper bounds are derived via Grunsky coefficients for the moduli of initial coefficients, consecutive coefficient modulus differences, initial logarithmic coefficients, and the second Hankel determinant in the class of normalized bi-univalent functions.