Sharp inequalities for the generalized elliptic integrals of the first kind
type: Item
instance of: scholarly article
title: Sharp inequalities for the generalized elliptic integrals of the first kind
zbMATH Open document ID: 1408.33010
author: Zhen-Hang Yang
author: Jingfeng Tian
published in: The Ramanujan Journal
publication date: 2019-03-21T00:00:00Z
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33E05
zbMATH DE Number: 7040080
zbMATH Keywords: Gaussian hypergeometric function
zbMATH Keywords: generalized elliptic integral of the first kind
zbMATH Keywords: monotonicity
zbMATH Keywords: inequality
MaRDI profile type: Publication
full work available at URL: s11139-018-0061-4
OpenAlex ID: W2900202431
cites work: Q5558293
cites work: Sharp inequalities for the complete elliptic integral of the first kind
cites work: Functional Inequalities for Complete Elliptic Integrals and Their Ratios
cites work: Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
cites work: Inequalities for Zero-Balanced Hypergeometric Functions
cites work: Generalized elliptic integrals and modular equations
cites work: Monotonicity Rules in Calculus
cites work: Ramanujan and hypergeometric and basic hypergeometric series
cites work: Turán type inequalities for generalized complete elliptic integrals
cites work: Landen inequalities for special functions
cites work: Q3218192
cites work: Q3995284
cites work: Q4000402
cites work: Q3245415
cites work: Q5615009
cites work: Asymptotic Expansion of the First Elliptic Integral
cites work: Improvements of the bounds for Ramanujan constant function
cites work: L’Hôpital’s monotone rule, Gromov’s theorem, and operations that preserve the monotonicity of quotients
cites work: Generalized elliptic integrals and the Legendre \(\mathcal M\)-function
cites work: Generalized elliptic integrals
cites work: Monotonicity, convexity, and inequalities for the generalized elliptic integrals
cites work: Eine Methode, die Positivität einer Funktion zu prüfen
cites work: New sharp approximations involving incomplete gamma functions
cites work: Sharp inequalities for tangent function with applications
cites work: Inequalities and bounds for generalized complete elliptic integrals
cites work: Q4330513
cites work: Asymptotic expansions and inequalities for hypergeometric function
cites work: Q3154304
cites work: Sharp Estimates for Complete Elliptic Integrals
cites work: Landen inequalities for hypergeometric functions
cites work: Q3267566
cites work: Linear meromorphic differential equations: A modern point of view
cites work: Some monotonicity properties of generalized elliptic integrals with applications
cites work: Sharp bounds for generalized elliptic integrals of the first kind
cites work: Asymptotical formulas for Gaussian and generalized hypergeometric functions
cites work: On approximating the modified Bessel function of the first kind and Toader-Qi mean
cites work: A monotonicity property involving the generalized elliptic integral of the first kind
cites work: Optimal inequalities involving power-exponential mean, arithmetic mean and geometric mean
cites work: Monotonicity and sharp inequalities related to gamma function
cites work: Sharp bounds for the ratio of modified Bessel functions
cites work: Monotonicity criterion for the quotient of power series with applications
cites work: An inequality for generalized complete elliptic integral
cites work: Remarks on generalized elliptic integrals
Wikidata QID: Q128954608
DOI: 10.1007/S11139-018-0061-4
description: scientific article; zbMATH DE number 7040080