@article{GUO2025, 
author = {Dong GUO and En AO and Qing WANG and Zongtao LI},
title = {Hermitian Toeplitz determinants for the inverse of several univalent functions},
year = {2025},
journal = {Journal of Capital Normal University (Natural Science Edition)},
volume = {46},
number = {4},
pages = {45-49},
keywords = {Hermitian Toeplitz matrix, univalent functions, inverse function},
url = {https://www.sciopen.com/article/10.19789/j.1004-9398.2025.04.006},
doi = {10.19789/j.1004-9398.2025.04.006},
abstract = {Let A denote the class of functions    f of form    f      (    z    )    =  z  +      ∑          n      =      2              ∞                  a              n                  z              n      , which are analytic in the unit disk    Δ  =  {  z  :      |    z      |    <  1  }. Let              S              ∗      (   K,    R  T and    T resp.) denote the class of functions    f  ∈  A such that        R    e        {                  z                  f                      ′                                    (          z          )                            f                  (          z          )                      }    >  0 (       R    e    {  1  +            z              f                  ′          ′                            (        z        )                            f                  ′                            (        z        )              }  >  0,        R    e        {          f              ′              (    z      )        }    >  0 and        R    e        {                  f                  (          z          )                    z        }    >  0 resp.) in    Δ. In the present paper, we determine the sharp bounds for        |                  T                  2          ,          1                            (                  f                      −            1                          )              |    ,      |                  T                  3          ,          1                            (                  f                      −            1                          )              |   for functions    f in the classes              S              ∗      ,    K,    R  T and    T.}
}