Indefinite integrals of incomplete elliptic integrals from Jacobi elliptic functions

DOI10.1080/10652469.2017.1304938zbMath1414.33020OpenAlexW2601445645MaRDI QIDQ5269327

John T. Conway

Publication date: 15 June 2017

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

Full work available at URL: https://doi.org/10.1080/10652469.2017.1304938

zbMATH Keywords

differential equationsEuler-Lagrangeelliptic functionselliptic integrals

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Elliptic functions and integrals (33E05) Lagrange's equations (70H03)

Cites Work

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• Indefinite integrals involving the incomplete elliptic integrals of the first and second kinds
• Indefinite integrals involving the incomplete elliptic integral of the third kind
• A Lagrangian method for deriving new indefinite integrals of special functions
• Indefinite integrals of some special functions from a new method