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; }

 EllipticThetaPrime

 http://functions.wolfram.com/09.07.27.0022.01

 Input Form

 EllipticThetaPrime[3, z, q] == EllipticThetaPrime[4, z + (2 m + 1) (Pi/2), q] /; Element[m, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["EllipticThetaPrime", "[", RowBox[List["3", ",", "z", ",", "q"]], "]"]], "\[Equal]", RowBox[List["EllipticThetaPrime", "[", RowBox[List["4", ",", RowBox[List["z", "+", RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["2", "m"]], "+", "1"]], ")"]], " ", FractionBox["\[Pi]", "2"]]]]], ",", "q"]], "]"]]]], "/;", RowBox[List["m", "\[Element]", "Integers"]]]]]]

 MathML Form

 ϑ 3 ( z , q ) ϑ 4 ( z + 1 2 π ( 2 m + 1 ) , q ) /; m TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition 1 Subscript ϑ 3 z q 1 Subscript ϑ 4 z 1 2 2 m 1 q m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EllipticThetaPrime", "[", RowBox[List["3", ",", "z_", ",", "q_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["EllipticThetaPrime", "[", RowBox[List["4", ",", RowBox[List["z", "+", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "m"]], "+", "1"]], ")"]], " ", "\[Pi]"]]]], ",", "q"]], "]"]], "/;", RowBox[List["m", "\[Element]", "Integers"]]]]]]]]

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

 2007-05-02