Functional Inequalities for Complete Elliptic Integrals and Their Ratios
Abstract
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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Copyright © 1990 Society for Industrial and Applied Mathematics.
History
Submitted: 25 January 1988
Accepted: 7 March 1989
Published online: 17 February 2012
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