gives the arithmetic-geometric mean of a and b.
- For certain special arguments, ArithmeticGeometricMean automatically evaluates to exact values.
- ArithmeticGeometricMean can be evaluated to arbitrary numerical precision.
- ArithmeticGeometricMean is a homogeneous function of a and b, and has a branch cut discontinuity in the complex plane, with a branch cut running from from to 0.
- ArithmeticGeometricMean automatically threads over lists.
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