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 StruveL

 http://functions.wolfram.com/03.10.06.0015.01

 Input Form

 StruveL[0, z] == (4/Pi) Sum[BesselI[2 k + 1, z]/(2 k + 1), {k, 0, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["StruveL", "[", RowBox[List["0", ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["4", "\[Pi]"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[RowBox[List["BesselI", "[", RowBox[List[RowBox[List[RowBox[List["2", " ", "k"]], "+", "1"]], ",", "z"]], "]"]], RowBox[List[RowBox[List["2", " ", "k"]], "+", "1"]]]]]]]]]]]

 MathML Form

 L StruveL 0 ( z ) 4 π k = 0 I 2 k + 1 ( z ) 2 k + 1 StruveL 0 z 4 -1 k 0 BesselI 2 k 1 z 2 k 1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["StruveL", "[", RowBox[List["0", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["4", " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[RowBox[List["BesselI", "[", RowBox[List[RowBox[List[RowBox[List["2", " ", "k"]], "+", "1"]], ",", "z"]], "]"]], RowBox[List[RowBox[List["2", " ", "k"]], "+", "1"]]]]]]], "\[Pi]"]]]]]

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

 2001-10-29