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 EllipticTheta

 http://functions.wolfram.com/09.02.06.0022.01

 Input Form

 EllipticTheta[2, z, q] \[Proportional] 2 q^(1/4) (Cos[z] + O[q^2]) /; (q -> 0)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["EllipticTheta", "[", RowBox[List["2", ",", "z", ",", "q"]], "]"]], "\[Proportional]", RowBox[List["2", " ", SuperscriptBox["q", RowBox[List["1", "/", "4"]]], " ", RowBox[List["(", RowBox[List[RowBox[List["Cos", "[", "z", "]"]], "+", RowBox[List["O", "[", SuperscriptBox["q", "2"], "]"]]]], ")"]]]]]], "/;", " ", RowBox[List["(", RowBox[List["q", "\[Rule]", "0"]], ")"]]]]]]

 MathML Form

 ϑ 2 ( z , q ) 2 q 4 ( cos ( z ) + O ( q 2 ) ) /; ( q "\[Rule]" 0 ) Condition Proportional EllipticTheta 2 z q 2 q 1 4 z O q 2 Rule q 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EllipticTheta", "[", RowBox[List["2", ",", "z_", ",", "q_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["2", " ", SuperscriptBox["q", RowBox[List["1", "/", "4"]]], " ", RowBox[List["(", RowBox[List[RowBox[List["Cos", "[", "z", "]"]], "+", SuperscriptBox[RowBox[List["O", "[", "q", "]"]], "2"]]], ")"]]]], "/;", RowBox[List["(", RowBox[List["q", "\[Rule]", "0"]], ")"]]]]]]]]

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

 2007-05-02