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 EllipticTheta

 http://functions.wolfram.com/09.04.08.0001.01

 Input Form

 EllipticTheta[4, 0, q] == Product[(1 - q^(2 n)) (1 - q^(2 n - 1))^2, {n, 1, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["EllipticTheta", "[", RowBox[List["4", ",", "0", ",", "q"]], "]"]], "\[Equal]", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["n", "=", "1"]], "\[Infinity]"], RowBox[List[RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["q", RowBox[List["2", "n"]]]]], ")"]], SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["q", RowBox[List[RowBox[List["2", "n"]], "-", "1"]]]]], ")"]], "2"]]]]]]]]]

 MathML Form

 ϑ 4 ( 0 , q ) n = 1 ( 1 - q 2 n ) ( 1 - q 2 n - 1 ) 2 EllipticTheta 4 0 q n 1 1 -1 q 2 n 1 -1 q 2 n -1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EllipticTheta", "[", RowBox[List["4", ",", "0", ",", "q_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["n", "=", "1"]], "\[Infinity]"], RowBox[List[RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["q", RowBox[List["2", " ", "n"]]]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["q", RowBox[List[RowBox[List["2", " ", "n"]], "-", "1"]]]]], ")"]], "2"]]]]]]]]]

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

 2001-10-29