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 LogGamma

 http://functions.wolfram.com/06.11.21.0005.01

 Input Form

 Integrate[LogGamma[t] Cos[2 Pi n t], {t, 0, 1}] == 1/(4 n) /; Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[RowBox[List["LogGamma", "[", "t", "]"]], RowBox[List["Cos", "[", RowBox[List["2", "\[Pi]", " ", "n", " ", "t"]], "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", FractionBox["1", RowBox[List["4", " ", "n"]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 0 1 logΓ ( t ) cos ( 2 π n t ) t 1 4 n /; n + Condition t 0 1 LogGamma t 2 n t 1 4 n -1 n SuperPlus [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[RowBox[List[RowBox[List["LogGamma", "[", "t_", "]"]], " ", RowBox[List["Cos", "[", RowBox[List["2", " ", "\[Pi]", " ", "n_", " ", "t_"]], "]"]]]], RowBox[List["\[DifferentialD]", "t_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", RowBox[List["4", " ", "n"]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

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

 2001-10-29