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 Erfi

 http://functions.wolfram.com/06.28.06.0002.01

 Input Form

 Erfi[z] == (2/Sqrt[Pi]) Sum[z^(2 k + 1)/(k! (2 k + 1)), {k, 0, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Erfi", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["2", " "]], SqrtBox["\[Pi]"]], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[SuperscriptBox["z", RowBox[List[RowBox[List["2", " ", "k"]], "+", "1"]]], RowBox[List[RowBox[List["k", "!"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "k"]], "+", "1"]], ")"]]]]]]]]]]]]]

 MathML Form

 erfi ( z ) 2 π k = 0 z 2 k + 1 k ! ( 2 k + 1 ) Erfi z 2 1 2 -1 k 0 z 2 k 1 k 2 k 1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Erfi", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["2", " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[SuperscriptBox["z", RowBox[List[RowBox[List["2", " ", "k"]], "+", "1"]]], RowBox[List[RowBox[List["k", "!"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "k"]], "+", "1"]], ")"]]]]]]]]], SqrtBox["\[Pi]"]]]]]]

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

 2001-10-29