html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 EllipticTheta

 http://functions.wolfram.com/09.01.03.0003.01

 Input Form

 EllipticTheta[1, (Pi (2 m + 1))/2, q] == (-1)^m EllipticTheta[2, 0, q] /; Element[m, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["EllipticTheta", "[", RowBox[List["1", ",", FractionBox[RowBox[List["\[Pi]", " ", RowBox[List["(", RowBox[List[RowBox[List["2", "m"]], "+", "1"]], ")"]]]], "2"], ",", "q"]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "m"], " ", RowBox[List["EllipticTheta", "[", RowBox[List["2", ",", "0", ",", "q"]], "]"]]]]]], "/;", RowBox[List["m", "\[Element]", "Integers"]]]]]]

 MathML Form

 ϑ 1 ( π 2 ( 2 m + 1 ) , q ) ( - 1 ) m ϑ 2 ( 0 , q ) /; m TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition EllipticTheta 1 2 -1 2 m 1 q -1 m EllipticTheta 2 0 q m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EllipticTheta", "[", RowBox[List["1", ",", RowBox[List[FractionBox["1", "2"], " ", "\[Pi]", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "m_"]], "+", "1"]], ")"]]]], ",", "q_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "m"], " ", RowBox[List["EllipticTheta", "[", RowBox[List["2", ",", "0", ",", "q"]], "]"]]]], "/;", RowBox[List["m", "\[Element]", "Integers"]]]]]]]]

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

 2001-10-29