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 KelvinBer

 http://functions.wolfram.com/03.14.07.0001.01

 Input Form

 KelvinBer[z] == (1/Pi) Integrate[Cos[(z Cos[t])/Sqrt[2]] Cosh[(z Cos[t])/Sqrt[2]], {t, 0, Pi}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["KelvinBer", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox["1", "\[Pi]"], " ", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Pi]"], RowBox[List[RowBox[List["Cos", "[", FractionBox[RowBox[List["z", " ", RowBox[List["Cos", "[", "t", "]"]]]], SqrtBox["2"]], "]"]], " ", RowBox[List["Cosh", "[", FractionBox[RowBox[List["z", " ", RowBox[List["Cos", "[", "t", "]"]]]], SqrtBox["2"]], "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]]]]

 MathML Form

 ber ( z ) 1 π 0 π cos ( z cos ( t ) 2 ) cosh ( z cos ( t ) 2 ) t KelvinBer z 1 -1 t 0 z t 2 1 2 -1 z t 2 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["KelvinBer", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Pi]"], RowBox[List[RowBox[List[RowBox[List["Cos", "[", FractionBox[RowBox[List["z", " ", RowBox[List["Cos", "[", "t", "]"]]]], SqrtBox["2"]], "]"]], " ", RowBox[List["Cosh", "[", FractionBox[RowBox[List["z", " ", RowBox[List["Cos", "[", "t", "]"]]]], SqrtBox["2"]], "]"]]]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Pi]"]]]]]

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

 2007-05-02