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IMCS/Publications/BASM/Issues/BASM n2(102), 2023/

The Second Hankel Determinant for k-symmetrical Functions

Authors: Fuad Alsarari, Satyanarayana Latha and Maslina Darus
Keywords: Hankel determinant problems, starlike function, $k$-symmetric points, subordination, coefficient bound

Abstract

In this article, we find the upper bound of the second Hankel determinant $|a_2a_4-a_3^2|$ for subclasses of starlike and convex functions with respect to $k$-symmetric points.

Fuad Alsarari
Department of Mathematics and statistics, College of
Science, Yanbu, Taibah University, Saudi Arabia.
E-mail:

Satyanarayana Latha
Department of Mathematics, Yuvaraja’s College,
University of Mysore, Mysore 570 005, INDIA
E-mail:

Maslina Darus
Department of Mathematical Sciences, Faculty of Science
and Technology, Universiti Kebangsaan Malaysia, UKM
Bangi 43600, Selangor, MALAYSIA
E-mail:

DOI

https://doi.org/10.56415/basm.y2023.i2.p3

Fulltext

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