Inverse logarithmic coefficient bounds for starlike functions subordinated to the exponential functions
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Author list: Lei Shi, Muhammad Abbas, Mohsan Raza, Muhammad Arif & Poom Kumam
Publisher: SpringerOpen
Publication year: 2024
Journal: Journal of Inequalities and Applications (1025-5834)
Volume number: 2024
Start page: 17
ISSN: 1025-5834
eISSN: 1029-242X
URL: https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-024-03094-5
Abstract
In recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of ��∗ for which ��′(�)/�(�) is subordinate to �� in the open unit disk. The classic concept of Hankel determinant is generalized by replacing the inverse logarithmic coefficient of functions belonging to certain subclasses of univalent functions. In particular, we obtain the best possible bounds for the second Hankel determinant of logarithmic coefficients of inverse starlike functions subordinated to exponential functions. This work may inspire to pay more attention to the coefficient properties with respect to the inverse functions of various classes of univalent functions.
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