Search results for "Arithmetic–geometric mean"

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Indefinite integrals of incomplete elliptic integrals from Jacobi elliptic functions

2017

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...

Carlson symmetric formPure mathematicsQuarter periodApplied Mathematics010102 general mathematicsMathematical analysisElliptic function010103 numerical & computational mathematics01 natural sciencesJacobi elliptic functionsLegendre formArithmetic–geometric meanElliptic rational functionsElliptic integral0101 mathematicsAnalysisMathematicsIntegral Transforms and Special Functions

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