@article{Tang2022, 
author = {Huo Tang and Gangadharan Murugusundaramoorthy and Shu-Hai Li and Li-Na Ma},
title = {Fekete-Szegö and Hankel inequalities for certain class of analytic functions related to the sine function},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {6365-6380},
keywords = {analytic function, starlike function, subordination, coefficient problem, Fekete-Szegöinequality, Hankel determinant, Poisson distribution series},
url = {https://www.sciopen.com/article/10.3934/math.2022354},
doi = {10.3934/math.2022354},
abstract = {In this present investigation, the authors obtain Fekete-Szegö inequality for certain normalized analytic function    f  (  ζ  ) defined on the open unit disk for which     (      f    ′    (  ζ      )          ϑ                  (                        ζ                      f            ′                    (          ζ          )                          f          (          ζ          )                    )              1      −      ϑ        ≺  1  +  sin  ⁡  ζ  ;    (  0  ≤  ϑ  ≤  1  )lies in a region starlike with respect to    1 and symmetric with respect to the real axis. As a special case of this result, the Fekete-Szegö inequality for a class of functions defined through Poisson distribution series is obtained. Further, we discuss the second Hankel inequality for functions in this new class.}
}