Sharp Bounds of Hankel Determinant on Logarithmic Coefficients for Functions of Bounded Turning Associated with Petal-Shaped Domain

Lei Shi, Muhammad Arif, Ayesha Rafiq, Muhammad Abbas and Javed Iqbal
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Lei Shi: School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China
Muhammad Arif: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
Ayesha Rafiq: Institute of Space Technology, University of Islamabad, Islamabad 44000, Pakistan
Muhammad Abbas: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
Javed Iqbal: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan

Mathematics, 2022, vol. 10, issue 11, 1-19

Abstract: The purpose of this article is to obtain the sharp estimates of the first four initial logarithmic coefficients for the class BT s of bounded turning functions associated with a petal-shaped domain. Further, we investigate the sharp estimate of Fekete-Szegö inequality, Zalcman inequality on the logarithmic coefficients and the Hankel determinant H 2 , 1 F f / 2 and H 2 , 2 F f / 2 for the class BT s with the determinant entry of logarithmic coefficients.

Keywords: Hankel determinant; bounded turning functions; petal-shaped domain; logarithmic coefficient bounds (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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