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http://functions.wolfram.com/09.54.04.0009.01
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RamificationIndex[ArithmeticGeometricMean[a, b], a/b, 0] == Log
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Cell[BoxData[RowBox[List[RowBox[List["RamificationIndex", "[", RowBox[List[RowBox[List["ArithmeticGeometricMean", "[", RowBox[List["a", ",", "b"]], "]"]], ",", FractionBox["a", "b"], ",", "0"]], "]"]], "\[Equal]", "Log"]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msub> <mi> ℛ </mi> <mfrac> <mi> a </mi> <mi> b </mi> </mfrac> </msub> <mo> ( </mo> <mrow> <mrow> <semantics> <mi> agm </mi> <annotation-xml encoding='MathML-Content'> <ci> ArithmeticGeometricMean </ci> </annotation-xml> </semantics> <mo> ( </mo> <mrow> <mi> a </mi> <mo> , </mo> <mi> b </mi> </mrow> <mo> ) </mo> </mrow> <mo> , </mo> <mn> 0 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mi> log </mi> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <ci> Subscript </ci> <ci> ℛ </ci> <apply> <times /> <ci> a </ci> <apply> <power /> <ci> b </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <ci> ArithmeticGeometricMean </ci> <ci> a </ci> <ci> b </ci> </apply> <cn type='integer'> 0 </cn> </apply> <ci> log </ci> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["RamificationIndex", "[", RowBox[List[RowBox[List["ArithmeticGeometricMean", "[", RowBox[List["a_", ",", "b_"]], "]"]], ",", FractionBox["a_", "b_"], ",", "0"]], "]"]], "]"]], "\[RuleDelayed]", "Log"]]]] |
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Date Added to functions.wolfram.com (modification date)
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