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 Sin

 http://functions.wolfram.com/01.06.06.0032.01

 Input Form

 Sin[z] == Sum[(1/k!) Sin[Subscript[z, 0] + (Pi k)/2] (z - Subscript[z, 0])^k, {k, 0, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Sin", "[", "z", "]"]], "\[Equal]", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], RowBox[List[FractionBox["1", RowBox[List["k", "!"]]], RowBox[List["Sin", "[", RowBox[List[SubscriptBox["z", "0"], "+", FractionBox[RowBox[List["\[Pi]", " ", "k"]], "2"]]], "]"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["z", "-", SubscriptBox["z", "0"]]], ")"]], "k"]]]]]]]]]

 MathML Form

 sin ( z ) k = 0 1 k ! sin ( π k 2 + z 0 ) ( z - z 0 ) k z k 0 1 k -1 k 2 -1 Subscript z 0 z -1 Subscript z 0 k [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sin", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[RowBox[List[RowBox[List["Sin", "[", RowBox[List[SubscriptBox["zz", "0"], "+", FractionBox[RowBox[List["\[Pi]", " ", "k"]], "2"]]], "]"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["z", "-", SubscriptBox["zz", "0"]]], ")"]], "k"]]], RowBox[List["k", "!"]]]]]]]]]

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

 2007-05-02