Some properties of the generalized Jacobian elliptic functions III

DOI10.1080/10652469.2016.1210144zbMath1414.33021OpenAlexW4231619293MaRDI QIDQ5506801

Edward Neuman

Publication date: 16 December 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2016.1210144

zbMATH Keywords

concavityinequalitieslogarithmic concavitygeneralized Jacobian elliptic functionsvan der Corput inequalityWilker-type inequalitymultiplicative concavityR-hypergeometric functions

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Elliptic functions and integrals (33E05) Inequalities involving other types of functions (26D07)

Related Items (2)

On generalized complete \((p, q)\)-elliptic integrals ⋮ Applications of generalized trigonometric functions with two parameters

Uses Software

• DLMF

Cites Work

• Inequalities for Jacobian elliptic functions and Gauss lemniscate functions
• Generalized Jacobian elliptic functions and their application to bifurcation problems associated with \(p\)-Laplacian
• Wilker and Huygens-type inequalities for the generalized trigonometric and for the generalized hyperbolic functions
• Some properties of the generalized Jacobian elliptic functions II
• A note on the Jacobian elliptic sine function
• Wilker- and Huygens-type inequalities for Jacobian elliptic and theta functions
• Product formulas and bounds for Jacobian elliptic functions with applications
• Inequalities involving generalized Jacobian elliptic functions
• Inequalities involving Jacobian elliptic functions and their inverses
• Inequalities for the generalized trigonometric, hyperbolic and Jacobian elliptic functions
• One- and two-sided inequalities for Jacobian elliptic functions and related results
• Some properties of the generalized Jacobian elliptic functions
• Van der Corput inequalities for Bessel functions
• Inequalities for the generalized trigonometric and hyperbolic functions

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