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