Hankel Determinant Containing Logarithmic Coefficients for Bounded Turning Functions Connected to a Three-Leaf-Shaped Domain

Lei Shi, Muhammad Arif (), Mohsan Raza () and Muhammad Abbas
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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
Mohsan Raza: Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
Muhammad Abbas: Department of Mathematics, Abdul Wali khan University Mardan, Mardan 23200, Pakistan

Mathematics, 2022, vol. 10, issue 16, 1-10

Abstract: The purpose of this study was to obtain the sharp Hankel determinant H 2 , 1 F f / 2 and H 2 , 2 F f / 2 with a logarithmic coefficient as entry for the class BT 3 L of bounded turning functions connected with a three-leaf-shaped domain. In this study, we developed a novel method to prove the bound sharpness. Although the calculations are much easier using numerical analysis, all the proofs of our results can be checked with a basic knowledge of calculus.

Keywords: Hankel determinant; logarithmic coefficient; bounded turning functions; three-leaf-shaped domain (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 (3)

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