Fuad Alsarari, Satyanarayana Latha, Maslina Darus, “The second Hankel determinant for <nobr>$k$</nobr>-symmetrical functions”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2023, Number 2,Pages <nobr>3

The second Hankel determinant for $k$-symmetrical functions

Fuad Alsarari^a, Satyanarayana Latha^b, Maslina Darus^c

^a Department of Mathematics and statistics, College of Science, Yanbu, Taibah University, Saudi Arabia
^b Department of Mathematics, Yuvaraja's College, University of Mysore, Mysore 570 005, INDIA
^c Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, MALAYSIA

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.

Keywords and phrases: hankel determinant problems, starlike function, $k$-symmetric points, subordination, coefficient bound.

MSC: 30C45, 30C50

Received: 05.06.2017
Revised: 06.10.2022

Language: English

DOI: 10.56415/basm.y2023.i2.p3