On the modulus of the Grötzsch ring

DOI10.1016/j.jmaa.2015.06.057zbMath1327.30021OpenAlexW1201702443MaRDI QIDQ495184

Horst Alzer, Kendall C. Richards

Publication date: 9 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.06.057

zbMATH Keywords

complete elliptic integral

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05) Quasiconformal mappings in the complex plane (30C62)

Related Items (13)

Monotonicity properties of Gaussian hypergeometric functions with respect to the parameter ⋮ Inequalities and infinite product formula for Ramanujan generalized modular equation function ⋮ Monotonicity properties and bounds involving the complete elliptic integrals of the first kind ⋮ On the generalized modulus ⋮ Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind ⋮ Dependence on the parameter of generalized Grötzsch ring and generalized Hübner functions ⋮ A concavity property of the complete elliptic integral of the first kind ⋮ Landen inequalities for a class of hypergeometric functions with applications ⋮ On the approximation of some special functions in Ramanujan's generalized modular equation with signature \(3^{\ast}\) ⋮ Monotonicity properties and inequalities related to generalized Grötzsch ring functions ⋮ Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function ⋮ Functional inequalities for the ratio of complete \(p\)-elliptic integrals ⋮ Precise estimates for the solution of Ramanujan's generalized modular equation

Cites Work

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• Some classes of completely monotonic functions. II
• Generalized elliptic integrals and modular equations
• Kolmogorov-Landau inequalities for monotone functions
• Approximate convexity and concavity of generalized Grötzsch ring function
• A power mean inequality for the Grötzsch ring function
• Hölder mean inequalities for the generalized Grötzsch ring and Hersch-Pfluger distortion functions
• 2627. A generalisation of Schur's inequality
• Analytic Inequalities
• What is the Laplace Transform?

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