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 KroneckerDelta

 http://functions.wolfram.com/04.20.07.0002.01

 Input Form

 KroneckerDelta[n, m] == (1/(2 Pi I)) ContourIntegrate[z^(n - m - 1), {z, Abs[z] == 1}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["KroneckerDelta", "[", RowBox[List["n", ",", "m"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", RowBox[List["2", "\[Pi]", " ", "\[ImaginaryI]"]]], RowBox[List["ContourIntegrate", "[", RowBox[List[SuperscriptBox["z", RowBox[List["n", "-", "m", "-", "1"]]], ",", RowBox[List["{", RowBox[List["z", ",", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "\[Equal]", "1"]]]], "}"]]]], "]"]]]]]]]]

 MathML Form

 δ KroneckerDelta n , m 1 2 π "\[LeftBracketingBar]" z "\[RightBracketingBar]" 1 z n - m - 1 z FormBox RowBox SubscriptBox InterpretationBox δ KroneckerDelta Rule Editable Rule Selectable RowBox n , m RowBox FractionBox 1 RowBox 2 π RowBox SubscriptBox ErrorBox RowBox RowBox z 1 RowBox SuperscriptBox z RowBox n - m - 1 RowBox z TraditionalForm [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["KroneckerDelta", "[", RowBox[List["n_", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["ContourIntegrate", "[", RowBox[List[SuperscriptBox["z", RowBox[List["n", "-", "m", "-", "1"]]], ",", RowBox[List["{", RowBox[List["z", ",", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "\[Equal]", "1"]]]], "}"]]]], "]"]], RowBox[List["2", " ", "\[Pi]", " ", "\[ImaginaryI]"]]]]]]]

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

 2007-05-02