A note on the Jacobian elliptic sine function

DOI10.1080/10652469.2012.720254zbMath1279.33028OpenAlexW2065693017MaRDI QIDQ2854302

Edward Neuman

Publication date: 18 October 2013

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

Full work available at URL: https://doi.org/10.1080/10652469.2012.720254

zbMATH Keywords

inequalitiesJacobian elliptic functionslogarithmically convex functionsLegendre elliptic integrals of the first kind

Mathematics Subject Classification ID

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

Related Items (2)

Some properties of the generalized Jacobian elliptic functions II ⋮ Some properties of the generalized Jacobian elliptic functions III

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Inequalities for Jacobian elliptic functions and Gauss lemniscate functions
• Some inequalities for the gamma function
• A companion inequality to Jensen's inequality
• Convex functions, partial orderings, and statistical applications
• Elliptic functions and applications
• Hölder concavity and inequalities for Jacobian elliptic functions
• Product formulas and bounds for Jacobian elliptic functions with applications
• One- and two-sided inequalities for Jacobian elliptic functions and related results
• Jacobi Elliptic Functions from a Dynamical Systems Point of View

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