A Study of Third Hankel Determinant Problem for Certain Subfamilies of Analytic Functions Involving Cardioid Domain

Lei Shi, Izaz Ali, Muhammad Arif, Nak Eun Cho, Shehzad Hussain and Hassan Khan
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Lei Shi: School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China
Izaz Ali: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
Muhammad Arif: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
Nak Eun Cho: Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea
Shehzad Hussain: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
Hassan Khan: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan

Mathematics, 2019, vol. 7, issue 5, 1-15

Abstract: In the present article, we consider certain subfamilies of analytic functions connected with the cardioid domain in the region of the unit disk. The purpose of this article is to investigate the estimates of the third Hankel determinant for these families. Further, the same bounds have been investigated for two-fold and three-fold symmetric functions.

Keywords: subordinations; starlike functions; convex functions; close-to-convex functions; cardioid domain; Hankel determinant; m-fold symmetric functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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