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 Power

 http://functions.wolfram.com/01.02.04.0012.01

 Input Form

 Residue[z^a, {z, 0}] == KroneckerDelta[-a - 1] /; Element[a, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Residue", "[", RowBox[List[SuperscriptBox["z", "a"], ",", RowBox[List["{", RowBox[List["z", ",", " ", "0"]], "}"]]]], "]"]], " ", "\[Equal]", RowBox[List["KroneckerDelta", "[", RowBox[List[RowBox[List["-", "a"]], "-", "1"]], "]"]]]], " ", "/;", RowBox[List["a", "\[Element]", "Integers"]]]]]]

 MathML Form

 res z ( z a ) ( 0 ) δ KroneckerDelta - a - 1 /; a TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition Subscript res z z a 0 KroneckerDelta -1 a -1 a [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Residue", "[", RowBox[List[SuperscriptBox["z_", "a_"], ",", RowBox[List["{", RowBox[List["z_", ",", "0"]], "}"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["KroneckerDelta", "[", RowBox[List[RowBox[List["-", "a"]], "-", "1"]], "]"]], "/;", RowBox[List["a", "\[Element]", "Integers"]]]]]]]]

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

 2001-10-29