Symmetry in c, d, n of Jacobian elliptic functions

DOI10.1016/J.JMAA.2004.06.049zbMath1061.33019OpenAlexW2057654101MaRDI QIDQ1766731

B. C. Carlson

Publication date: 8 March 2005

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.2004.06.049

zbMATH Keywords

Jacobian elliptic functionsSymmetric elliptic integral

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05)

Related Items (14)

Product formulas and bounds for Jacobian elliptic functions with applications ⋮ Some reformulated properties of Jacobian elliptic functions ⋮ On elliptic and hyperbolic modular functions and the corresponding Gudermann Peeta functions ⋮ Inequalities for Jacobian elliptic functions and Gauss lemniscate functions ⋮ Permutation symmetry for theta functions ⋮ New approach to certain real hyper-elliptic integrals ⋮ One- and two-sided inequalities for Jacobian elliptic functions and related results ⋮ New exact solutions of the \((2+1)\)-dimensional KdV equation with variable coefficients ⋮ Power series for inverse Jacobian elliptic functions ⋮ Precise and fast computation of a general incomplete elliptic integral of second kind by half and double argument transformations ⋮ Some properties of the generalized Jacobian elliptic functions II ⋮ Table of integrals of squared Jacobian elliptic functions and reductions of related hypergeometric $R$-functions ⋮ Some properties of the generalized Jacobian elliptic functions ⋮ Inequalities involving Jacobian elliptic functions and their inverses

Cites Work

• The Third Quadratic Transformation on Elliptic Functions
• Symmetric Elliptic Integrals of the Third Kind
• Structural Schemes for Elliptic Integrals
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