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RESEARCH PRODUCT
Indefinite integrals involving the incomplete elliptic integral of the third kind
John T. Conwaysubject
Abelian integralCarlson symmetric formQuarter periodApplied MathematicsMultiple integral010102 general mathematicsMathematical analysisTrigonometric integral010103 numerical & computational mathematics01 natural sciencesJacobi elliptic functionsVolume integralLegendre formApplied mathematics0101 mathematicsAnalysisMathematicsdescription
ABSTRACTA substantial number of new indefinite integrals involving the incomplete elliptic integral of the third kind are presented, together with a few integrals for the other two kinds of incomplete elliptic integral. These have been derived using a Lagrangian method which is based on the differential equations which these functions satisfy. Techniques for obtaining new integrals are discussed, together with transformations of the governing differential equations. Integrals involving products combining elliptic integrals of different kinds are also presented.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-05-24 | Integral Transforms and Special Functions |