Hankel Determinant of Logarithmic Coefficients for Tilted Starlike Functions With Respect to Conjugate Points

The growth of the Hankel determinant whose elements are logarithmic coefficients for different subclasses of univalent functions has recently attracted considerable interest. In this paper, we obtain the bounds for the first four initial logarithmic coefficients for the subclass of starlike function...

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Bibliographic Details
Published in:International Journal of Analysis and Applications
Main Author: Mohamad D.; Abdul Wahid N.H.A.
Format: Article
Language:English
Published: Etamaths Publishing 2023
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85149213228&doi=10.28924%2f2291-8639-21-2023-10&partnerID=40&md5=bfd2d42fe2180947fd1d41fc9cdaa203
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Summary:The growth of the Hankel determinant whose elements are logarithmic coefficients for different subclasses of univalent functions has recently attracted considerable interest. In this paper, we obtain the bounds for the first four initial logarithmic coefficients for the subclass of starlike functions with respect to conjugate points in an open unit disk. Furthermore, we determine the upper bounds of the second Hankel determinant of logarithmic coefficients for this subclass. We also present some new consequences of our results. © 2023 the author(s).
ISSN:22918639
DOI:10.28924/2291-8639-21-2023-10