Indefinite integrals of incomplete elliptic integrals from Jacobi elliptic functions

6533b861fe1ef96bd12c56cb

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Indefinite integrals of incomplete elliptic integrals from Jacobi elliptic functions

subject

Carlson symmetric form Pure mathematics Quarter period Applied Mathematics 010102 general mathematics Mathematical analysis Elliptic function 010103 numerical & computational mathematics 01 natural sciences Jacobi elliptic functions Legendre form Arithmetic–geometric mean Elliptic rational functions Elliptic integral 0101 mathematics Analysis Mathematics

description

Integration formulas are derived for the three canonical Legendre elliptic integrals. These formulas are obtained from the differential equations satified by these elliptic integrals when the indep...

year	journal	country	edition	language
2017-03-21	Integral Transforms and Special Functions

https://doi.org/10.1080/10652469.2017.1304938

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