Some Further Coefficient Bounds on a New Subclass of Analytic Functions

Yue-Juan Sun, Muhammad Arif (), Lei Shi and Muhammad Imran Faisal
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Yue-Juan Sun: School of Mathematics and Statistics, Shangqiu Normal University, Shangqiu 476000, China
Muhammad Arif: Department of Mathematics, Abdul Wali khan University Mardan, Mardan 23200, Pakistan
Lei Shi: School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China
Muhammad Imran Faisal: Mathematics Department, Taibah University, Universities Road, P.O. Box 344, Medina 42353, Saudi Arabia

Mathematics, 2023, vol. 11, issue 12, 1-14

Abstract: The coefficient problem is an essential topic in the theory of univalent functions theory. In the present paper, we consider a new subclass SQ of analytic functions with f ′ ( z ) subordinated to 1 / ( 1 − z ) 2 in the open unit disk. This class was introduced and studied by Răducanu. Our main aim is to give the sharp upper bounds of the second Hankel determinant H 2 , 3 f and the third Hankel determinant H 3 , 1 f for f ∈ SQ . This may help to understand more properties of functions in this class and inspire further investigations on higher Hankel determinants for this or other popular sub-classes of univalent functions.

Keywords: subordination; analytic functions; Hankel determinant; coefficient bounds (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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