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 Power

 http://functions.wolfram.com/01.02.24.0008.01

 Input Form

 Product[k^4 + z^4, {k, 0, Infinity}] == 2 z^2 (Cosh[Sqrt[2] Pi z] - Cos[Sqrt[2] Pi z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "0"]], "\[Infinity]"], RowBox[List["(", RowBox[List[SuperscriptBox["k", "4"], "+", SuperscriptBox["z", "4"]]], ")"]]]], "\[Equal]", RowBox[List["2", SuperscriptBox["z", "2"], RowBox[List["(", RowBox[List[RowBox[List["Cosh", "[", RowBox[List[SqrtBox["2"], "\[Pi]", " ", "z"]], "]"]], " ", "-", RowBox[List["Cos", "[", RowBox[List[SqrtBox["2"], "\[Pi]", " ", "z"]], "]"]]]], ")"]]]]]]]]

 MathML Form

 k = 0 ( k 4 + z 4 ) 2 z 2 ( cosh ( 2 π z ) - cos ( 2 π z ) ) k 0 k 4 z 4 2 z 2 2 1 2 z -1 2 1 2 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k_", "=", "0"]], "\[Infinity]"], RowBox[List["(", RowBox[List[SuperscriptBox["k_", "4"], "+", SuperscriptBox["z_", "4"]]], ")"]]]], "]"]], "\[RuleDelayed]", RowBox[List["2", " ", SuperscriptBox["z", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["Cosh", "[", RowBox[List[SqrtBox["2"], " ", "\[Pi]", " ", "z"]], "]"]], "-", RowBox[List["Cos", "[", RowBox[List[SqrtBox["2"], " ", "\[Pi]", " ", "z"]], "]"]]]], ")"]]]]]]]]

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

 2002-12-18