Rational Landen Transformations on R Dante Manna and Victor
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چکیده
The Landen transformation (a, b) 7→ ((a+b)/2, √ ab) preserves the value of an elliptic integral and its iteration produces the classical arithmeticgeometric mean AGM(a, b). We present analogous transformations for rational functions integrated over the whole real line.
منابع مشابه
Rational Landen Transformations on R Dante Manna
The Landen transformation (a, b) → ((a+b)/2, √ ab) preserves the value of an elliptic integral, and its iteration produces the classical arithmeticgeometric mean AGM(a, b). We present analogous transformations for rational functions integrated over the whole real line.
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تاریخ انتشار 2005