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Rational Landen transformations on
Authors:Dante Manna  Victor H Moll
Institution:Department of Mathematics, Tulane University, New Orleans, Louisianna 70118 ; Department of Mathematics, Tulane University, New Orleans, Louisianna 70118
Abstract:The Landen transformation $ (a,b) \mapsto ( (a+b)/2,\sqrt{ab} )$ preserves the value of an elliptic integral, and its iteration produces the classical arithmetic-geometric mean AGM$ (a,b)$. We present analogous transformations for rational functions integrated over the whole real line.

Keywords:Integrals  transformations
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