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The second Hankel determinant for $k$-symmetrical functions
Fuad Alsararia, Satyanarayana Lathab, Maslina Darusc 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.
Received: 05.06.2017 Revised: 06.10.2022
Citation:
Fuad Alsarari, Satyanarayana Latha, Maslina Darus, “The second Hankel determinant for $k$-symmetrical functions”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2023, no. 2, 3–10
Linking options:
https://www.mathnet.ru/eng/basm588 https://www.mathnet.ru/eng/basm/y2023/i2/p3
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