Bounds for Certain Determinants of Logarithmic Coefficients for the Class of Functions with Bounded Turning

This paper aims to estimate the logarithmic coefficients for the class of functions with bounded turning. Hence, the upper bounds of the second-order for three types of determinants (Hankel, Toeplitz, and Vandermonde) whose entries are logarithmic coefficients for this class of functions are obtaine...

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Bibliographic Details
Published in:European Journal of Pure and Applied Mathematics
Main Author: Wahid N.H.A.A.; Amirnuddin I.Q.; Azmi N.I.M.
Format: Article
Language:English
Published: New York Business Global 2024
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85208372752&doi=10.29020%2fnybg.ejpam.v17i4.5374&partnerID=40&md5=6bcb279d505ba551526855501090f7c5
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Summary:This paper aims to estimate the logarithmic coefficients for the class of functions with bounded turning. Hence, the upper bounds of the second-order for three types of determinants (Hankel, Toeplitz, and Vandermonde) whose entries are logarithmic coefficients for this class of functions are obtained. Some interesting consequences of these results are also highlighted, offering new findings within the class of functions with bounded turning. Copyright: © 2024 The Author(s)
ISSN:13075543
DOI:10.29020/nybg.ejpam.v17i4.5374