Publication | Closed Access
Functional Inequalities for Complete Elliptic Integrals and Their Ratios
99
Citations
9
References
1990
Year
Complete Elliptic IntegralsElliptic EquationEngineeringRiemann-hilbert ProblemFunctional InequalitiesSuch IntegralsAnalytic Number TheoryFunctional AnalysisVariational InequalityVariational InequalitiesElliptic Function
Some functional inequalities satisfied by complete elliptic integrals of the first kind are obtained. These inequalities are sharp and generalize the functional identity of Landen. A related inequality is given for certain quotients of such integrals.
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