Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function
type: Item
instance of: scholarly article
title: Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function
zbMATH Open document ID: 1402.30022
author: Song-Liang Qiu
author: Miao-Kun Wang
author: Yu-Ming Chu
published in: Mathematical Inequalities & Applications
publication date: 2018-10-05T00:00:00Z
Mathematics Subject Classification ID: 30C62
Mathematics Subject Classification ID: 33E05
zbMATH DE Number: 6948268
zbMATH Keywords: infinite series formula
zbMATH Keywords: Hübner upper bound function
zbMATH Keywords: Hersch-Pfluger distortion function
zbMATH Keywords: quasiconformal mappings
zbMATH Keywords: Ramanujan modular equation
MaRDI profile type: Publication
full work available at URL: mia-2018-21-46
OpenAlex ID: W2888386651
cites work: On the modulus of the Grötzsch ring
cites work: Elliptic integral inequalities with applications
cites work: Generalized elliptic integrals and modular equations
cites work: Modular equations and distortion functions
cites work: Distortion functions for plane quasiconformal mappings
cites work: Q4339229
cites work: Topics in special functions. II
cites work: On generalized complete elliptic integrals and modular functions
cites work: Ramanujan's Theories of Elliptic Functions to Alternative Bases
cites work: Sharp inequalities involving the power mean and complete elliptic integral of the first kind
cites work: Hölder mean inequalities for the complete elliptic integrals
cites work: Optimal inequalities between harmonic, geometric, logarithmic, and arithmetic-geometric means
cites work: Inequalities between arithmetic-geometric, Gini, and Toader means
cites work: Optimal Lehmer mean bounds for the Toader mean
cites work: Concavity of the complete elliptic integrals of the second kind with respect to Hölder means
cites work: Sharp bounds for Toader mean in terms of contraharmonic mean with applications
cites work: Optimal combinations bounds of root-square and arithmetic means for Toader mean
cites work: Bounds for complete elliptic integrals of the second kind with applications
cites work: Sharp generalized Seiffert mean bounds for Toader mean
cites work: On Alzer and Qiu's conjecture for complete elliptic integral and inverse hyperbolic tangent function
cites work: Sharp two parameter bounds for the logarithmic mean and the arithmetic-geometric mean of Gauss
cites work: Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean
cites work: Q5815764
cites work: Q5591651
cites work: Q5563550
cites work: Q5685358
cites work: Q4294407
cites work: Hölder mean inequalities for the generalized Grötzsch ring and Hersch-Pfluger distortion functions
cites work: Sharp estimates for Hübner's upper bound function with applications
cites work: Some inequalities for the Hersch-Pfluger distortion function
cites work: Q4882843
cites work: Infinite Products and Normalized Quotients of Hypergeometric Functions
cites work: Optimal bounds for Toader mean in terms of arithmetic and contraharmonic means
cites work: Singular values, Ramanujan modular equations, and Landen transformations
cites work: Q3287407
cites work: Inequalities for the generalized elliptic integrals and modular functions
cites work: A power mean inequality involving the complete elliptic integrals
cites work: Optimal bounds for Gaussian arithmetic-geometric mean with applications to complete elliptic integral
cites work: Asymptotical bounds for complete elliptic integrals of the second kind
cites work: Bounds of the perimeter of an ellipse using arithmetic, geometric and harmonic means
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: Convexity of the complete elliptic integrals of the first kind with respect to Hölder means
cites work: Bounds for the perimeter of an ellipse
cites work: An optimal power mean inequality for the complete elliptic integrals
cites work: Generalized Hersch-Pfluger distortion function and complete elliptic integrals
cites work: A monotonicity property involving the generalized elliptic integral of the first kind
cites work: Monotonicity of the ratio for the complete elliptic integral and Stolarsky mean
cites work: Accurate approximations for the complete elliptic integral of the second kind
cites work: Sharp Stolarsky mean bounds for the complete elliptic integral of the second kind
cites work: Sharp bounds for the arithmetic-geometric mean
cites work: Distortion theorems of plane quasiconformal mappings
cites work: Remarks on generalized elliptic integrals
DOI: 10.7153/MIA-2018-21-46
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