Results on Hankel determinants for the inverse of certain analytic functions subordinated to the exponential function

Date

2022

Authors

Shi, Lei
Srivastava, H.M.
Rafiq, Ayesha
Arif, Muhammad
Ihsan, Muhammad

Journal Title

Journal ISSN

Volume Title

Publisher

Mathematics

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.

Description

Keywords

univalent function, inverse function, coefficient bounds, Hankel determinant

Citation

Shi, L., Srivastava, H. M., Rafiq, A., Arif, M., & Ihsan, M. (2022). “Results on Hankel determinants for the inverse of certain analytic functions subordinated to the exponential function.” Mathematics, 10(19), 3429. https://doi.org/10.3390/math10193429