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 KelvinBer

 http://functions.wolfram.com/03.14.06.0008.01

 Input Form

 KelvinBer[z] == Sum[((-1)^k/(2 k)!^2) (z/2)^(4 k), {k, 0, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["KelvinBer", "[", "z", "]"]], "\[Equal]", " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], RowBox[List[FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "k"], SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["(", RowBox[List["2", "k"]], ")"]], "!"]], ")"]], "2"]], SuperscriptBox[RowBox[List["(", FractionBox["z", "2"], ")"]], RowBox[List["4", " ", "k"]]]]]]]]]]]

 MathML Form

 ber ( z ) k = 0 ( - 1 ) k ( z 2 ) 4 k ( ( 2 k ) ! ) 2 KelvinBer z k 0 -1 k z 2 -1 4 k 2 k 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["KelvinBer", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "k"], " ", SuperscriptBox[RowBox[List["(", FractionBox["z", "2"], ")"]], RowBox[List["4", " ", "k"]]]]], SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["(", RowBox[List["2", " ", "k"]], ")"]], "!"]], ")"]], "2"]]]]]]]]

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

 2007-05-02