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 KelvinBei

 http://functions.wolfram.com/03.13.07.0004.01

 Input Form

 KelvinBei[z] == (1/Pi) Integrate[Sin[(z Sin[t])/Sqrt[2]] Sinh[(z Sin[t])/Sqrt[2]], {t, 0, Pi}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["KelvinBei", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox["1", "\[Pi]"], RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Pi]"], RowBox[List[RowBox[List["Sin", "[", FractionBox[RowBox[List["z", " ", RowBox[List["Sin", "[", "t", "]"]]]], SqrtBox["2"]], "]"]], " ", RowBox[List["Sinh", "[", FractionBox[RowBox[List["z", " ", RowBox[List["Sin", "[", "t", "]"]]]], SqrtBox["2"]], "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]]]]

 MathML Form

 bei ( z ) 1 π 0 π sin ( z sin ( t ) 2 ) sinh ( z sin ( t ) 2 ) t KelvinBei 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["KelvinBei", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Pi]"], RowBox[List[RowBox[List[RowBox[List["Sin", "[", FractionBox[RowBox[List["z", " ", RowBox[List["Sin", "[", "t", "]"]]]], SqrtBox["2"]], "]"]], " ", RowBox[List["Sinh", "[", FractionBox[RowBox[List["z", " ", RowBox[List["Sin", "[", "t", "]"]]]], SqrtBox["2"]], "]"]]]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Pi]"]]]]]

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

 2007-05-02