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 EllipticTheta

 http://functions.wolfram.com/09.01.04.0006.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29