Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential Function

Lei Shi, Hari M. Srivastava, Ayesha Rafiq, Muhammad Arif () and Muhammad Ihsan
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Lei Shi: School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China
Hari M. Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Ayesha Rafiq: Institute of Space Technology, University of Islamabad, Islamabad 44000, Pakistan
Muhammad Arif: Department of Mathematics, Abdul Wali khan University Mardan, Mardan 23200, Pakistan
Muhammad Ihsan: Department of Mathematics, Abdul Wali khan University Mardan, Mardan 23200, Pakistan

Mathematics, 2022, vol. 10, issue 19, 1-15

Abstract: In the present paper, we aimed to discuss certain coefficient-related problems for the inverse functions associated with a bounded turning functions class subordinated with the exponential function. We calculated the bounds of some initial coefficients, the Fekete–Szegö-type inequality, and the estimation of Hankel determinants of second and third order. All of these bounds were proven to be sharp.

Keywords: univalent function; inverse function; coefficient bounds; Hankel determinant (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 (1)

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