@article{Khan2024, 
author = {Muhammad Ghaffar Khan and Sheza.M. El-Deeb and Daniel Breaz and Wali Khan Mashwani and Bakhtiar Ahmad},
title = {Sufficiency criteria for a class of convex functions connected with tangent function},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {18608-18624},
keywords = {holomorphic convex functions, convolution, tangent function, Krushkal inequality, logarithmic coefficients},
url = {https://www.sciopen.com/article/10.3934/math.2024906},
doi = {10.3934/math.2024906},
abstract = {The research here was motivated by a number of recent studies on Hankel inequalities and sharp bounds. In this article, we define a new subclass of holomorphic convex functions that are related to tangent functions. We then derive geometric properties like the necessary and sufficient conditions, radius of convexity, growth, and distortion estimates for our defined function class. Furthermore, the sharp coefficient bounds, sharp Fekete-Szegö inequality, sharp 2nd order Hankel determinant, and Krushkal inequalities are given. Moreover, we calculate the sharp coefficient bounds, sharp Fekete-Szegö inequality, and sharp second-order Hankel determinant for the functions whose coefficients are logarithmic.}
}