@article{Han2022, 
author = {Ye-Cong Han and Chuan-Yu Cai and Ti-Ren Huang},
title = {Monotonicity, convexity properties and inequalities involving Gaussian hypergeometric functions with applications},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {4974-4991},
keywords = {Gaussian hypergeometric function, monotonicity, convexity},
url = {https://www.sciopen.com/article/10.3934/math.2022277},
doi = {10.3934/math.2022277},
abstract = {In this paper, we mainly prove monotonicity and convexity properties of certain functions involving zero-balanced Gaussian hypergeometric function    F  (  a  ,  b  ;  a  +  b  ;  x  ). We generalize conclusions of elliptic integral to Gaussian hypergeometric function, and get some accurate inequalities about Gaussian hypergeometric function.}
}