Simple proofs of certain inequalities with logarithmic coefficients of univalent functions

M. Obradović; N. Tuneski

doi:10.15421/242412

Simple proofs of certain inequalities with logarithmic coefficients of univalent functions

M. Obradović (University of Belgrade), https://orcid.org/0000-0001-8890-0764
N. Tuneski (Ss. Cyril and Methodius University in Skopje), https://orcid.org/0000-0003-3889-0048

Abstract

In this paper, we give simple proofs for the bounds (some of them sharp) of the difference of the moduli of the second and the first logarithmic coefficient for the general class of univalent functions and for the class of convex univalent functions.

Keywords

univalent functions; convex functions; logarithmic coefficient; moduli; estimate

MSC 2020

Pri 30C45, Sec 30C50

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References

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