Open AccessMonotonicity, convexity properties and inequalities involving Gaussian hypergeometric functions with applications
Author(s) -
Ye-Cong Han,
AUTHOR_ID,
Chuan-Yu Cai,
Ti-Ren Huang,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022277
Subject(s) - monotonic function , convexity , generalized hypergeometric function , mathematics , hypergeometric function , gaussian , pure mathematics , hypergeometric function of a matrix argument , confluent hypergeometric function , gaussian function , hypergeometric distribution , function (biology) , lauricella hypergeometric series , basic hypergeometric series , mathematical analysis , chemistry , computational chemistry , evolutionary biology , biology , financial economics , economics
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.