@article{Khan2023, 
author = {Muhammmad Ghaffar Khan and Wali Khan Mashwani and Lei Shi and Serkan Araci and Bakhtiar Ahmad and Bilal Khan},
title = {Hankel inequalities for bounded turning functions in the domain of cosine Hyperbolic function},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {21993-22008},
keywords = {holomorphic functions, Hankel determinant, Subordination, Hyperbolic function},
url = {https://www.sciopen.com/article/10.3934/math.20231121},
doi = {10.3934/math.20231121},
abstract = {In the present article, we define and investigate a new subfamily of holomorphic functions connected with the cosine hyperbolic function with bounded turning. Further some interesting results like sharp coefficients bounds, sharp Fekete-Szegö estimate, sharp        2          n      d       Hankel determinant and non-sharp        3          r      d       order Hankel determinant. Moreover, the same estimates have been investigated for 2-fold, 3-fold symmetric functions, the first four initial sharp bounds of logarithmic coefficient and sharp second Hankel determinant of logarithmic coefficients fort his defined function family.}
}