Landen transformations and the integration of rational functions

نویسندگان

  • George Boros
  • Victor H. Moll
چکیده

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.

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عنوان ژورنال:
  • Math. Comput.

دوره 71  شماره 

صفحات  -

تاریخ انتشار 2002