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 LerchPhi

 http://functions.wolfram.com/10.06.06.0009.02

 Input Form

 LerchPhiClassical[z, 1, a] \[Proportional] (-Log[1 - z]) (1 + O[z - 1])

 Standard Form

 Cell[BoxData[RowBox[List[" ", RowBox[List[RowBox[List["LerchPhiClassical", "[", RowBox[List["z", ",", "1", ",", "a"]], "]"]], "\[Proportional]", RowBox[List[RowBox[List["-", RowBox[List["Log", "[", RowBox[List["1", "-", "z"]], "]"]]]], RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", RowBox[List["z", "-", "1"]], "]"]]]], ")"]]]]]]]]]]

 MathML Form

 Φ ^ ( z TagBox["z", Rule[Editable, True]] , 1 TagBox["1", Rule[Editable, True]] , a TagBox["a", Rule[Editable, True]] ) - log ( 1 - z ) ( 1 + O ( z - 1 ) ) Proportional OverHat Φ Rule Editable z Rule Editable 1 Rule Editable a -1 1 -1 z 1 O z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LerchPhiClassical", "[", RowBox[List["z_", ",", "1", ",", "a_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", RowBox[List["Log", "[", RowBox[List["1", "-", "z"]], "]"]]]], " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", RowBox[List["z", "-", "1"]], "]"]]]], ")"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29

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