SECOND HANKEL DETERMINANT OF LOGARITHMIC COEFFICIENTS OF CONVEX AND STARLIKE FUNCTIONS

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.

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Bibliographic Details
Published inBulletin of the Australian Mathematical Society Vol. 105; no. 3; pp. 458 - 467
Main Authors KOWALCZYK, BOGUMIŁA, LECKO, ADAM
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.06.2022
Subjects
Coefficients
Convex analysis
Hankel matrices
Inequality
Logarithms
starlike function
convex function
30C45
logarithmic coefficient
Carathéodory function
Hankel determinant
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Summary: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.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972721000836