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ArithmeticGeometricMean

ArithmeticGeometricMean[a, b]
gives the arithmetic-geometric mean of a and b.

For certain special arguments, ArithmeticGeometricMean automatically evaluates to exact values.

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 .