Sharp Bounds for the Second Hankel Determinant of Logarithmic Coefficients for Strongly Starlike and Strongly Convex Functions

Autor:	Sevtap Sümer Eker, Bilal Şeker, Bilal Çekiç, Mugur Acu
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	logarithmic coefficient Hankel determinant strongly starlike strongly convex Mathematics QA1-939
Zdroj:	Axioms, Vol 11, Iss 8, p 369 (2022)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms11080369
Popis:	The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to the Taylor coefficients of univalent functions themselves or to their powers, via the Lebedev–Milin inequalities; therefore, it is interesting to investigate the Hankel determinant whose entries are logarithmic coefficients. The main purpose of this paper is to obtain the sharp bounds for the second Hankel determinant of logarithmic coefficients of strongly starlike functions and strongly convex functions.
Databáze:	Directory of Open Access Journals
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