Monotonicity and inequalities involving zero–balanced hypergeometric function

Miao Kun Wang; Yu Ming Chu; Wen Zhang

doi:10.7153/mia-2019-22-42

Monotonicity and inequalities involving zero–balanced hypergeometric function

Miao Kun Wang, Yu Ming Chu, Wen Zhang

Research output: Contribution to journal › Article › peer-review

88 Scopus citations

Abstract

In the article, we present a monotonicity property involving the zero-balanced hypergeometric function F(a,b;a+b;x) for all a,b > 0, and establish several sharp inequalities for F(a,b;a+b;x) in the first quadrant of ab-plane, which are the generalizations of the previously results.

Original language	English
Pages (from-to)	601-617
Number of pages	17
Journal	Mathematical Inequalities and Applications
Volume	22
Issue number	2
DOIs	https://doi.org/10.7153/mia-2019-22-42
State	Published - 2019

Keywords

Gaussian hypergeometric function
Generalized elliptic integral
Inequality
Monotonicity

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title = "Monotonicity and inequalities involving zero–balanced hypergeometric function",

abstract = "In the article, we present a monotonicity property involving the zero-balanced hypergeometric function F(a,b;a+b;x) for all a,b > 0, and establish several sharp inequalities for F(a,b;a+b;x) in the first quadrant of ab-plane, which are the generalizations of the previously results.",

keywords = "Gaussian hypergeometric function, Generalized elliptic integral, Inequality, Monotonicity",

author = "Wang, {Miao Kun} and Chu, {Yu Ming} and Wen Zhang",

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T1 - Monotonicity and inequalities involving zero–balanced hypergeometric function

AU - Wang, Miao Kun

AU - Chu, Yu Ming

AU - Zhang, Wen

PY - 2019

Y1 - 2019

N2 - In the article, we present a monotonicity property involving the zero-balanced hypergeometric function F(a,b;a+b;x) for all a,b > 0, and establish several sharp inequalities for F(a,b;a+b;x) in the first quadrant of ab-plane, which are the generalizations of the previously results.

AB - In the article, we present a monotonicity property involving the zero-balanced hypergeometric function F(a,b;a+b;x) for all a,b > 0, and establish several sharp inequalities for F(a,b;a+b;x) in the first quadrant of ab-plane, which are the generalizations of the previously results.

KW - Gaussian hypergeometric function

KW - Generalized elliptic integral

KW - Inequality

KW - Monotonicity

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U2 - 10.7153/mia-2019-22-42

DO - 10.7153/mia-2019-22-42

M3 - Article

AN - SCOPUS:85065338519

SN - 1331-4343

VL - 22

SP - 601

EP - 617

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 2

ER -

Monotonicity and inequalities involving zero–balanced hypergeometric function

Abstract

Keywords

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