Landen transformations and the integration of rational functions

Abstract. We present a rational version of the classical Landen transformation for elliptic integrals. This is employed to obtain explicit closed-form expressions for a large class of integrals of even rational functions and to develop an algorithm for numerical integration of these functions.

• Type: Journal
• Year: 2002
• Where: MOC
• Authors: George Boros, Victor H. Moll
• Keywords: Classical Landen Transformation, Elliptic Integrals, Explicit Closed-form Expressions, MOC 2002