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 Zeta

 http://functions.wolfram.com/10.02.04.0006.01

 Input Form

 Residue[ZetaClassical[s, a], {a, -n}] == KroneckerDelta[s, 1] /; Element[n, Integers] && n >= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Residue", "[", RowBox[List[RowBox[List["ZetaClassical", "[", RowBox[List["s", ",", "a"]], "]"]], ",", RowBox[List["{", RowBox[List["a", ",", RowBox[List["-", "n"]]]], "}"]]]], "]"]], "\[Equal]", RowBox[List["KroneckerDelta", "[", RowBox[List["s", ",", "1"]], "]"]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]

 MathML Form

 res a ( ζ ^ ( s TagBox["s", Rule[Editable, True]] , a TagBox["a", Rule[Editable, True]] ) ) ( - n ) δ KroneckerDelta s , 1 /; n Condition Subscript res a OverHat ζ Rule Editable s Rule Editable a -1 n KroneckerDelta s 1 n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Residue", "[", RowBox[List[RowBox[List["ZetaClassical", "[", RowBox[List["s_", ",", "a_"]], "]"]], ",", RowBox[List["{", RowBox[List["a_", ",", RowBox[List["-", "n_"]]]], "}"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["KroneckerDelta", "[", RowBox[List["s", ",", "1"]], "]"]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]]]

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

 2001-10-29