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variants of this functions
WeierstrassSigma






Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassSigma[n,z,{g2,g3}] > General characteristics > Symmetries and periodicities > Homogeneity





http://functions.wolfram.com/09.16.04.0009.01









  


  










Input Form





WeierstrassSigma[n, \[Lambda] z, WeierstrassInvariants[ \[Lambda] WeierstrassHalfPeriods[{Subscript[g, 2], Subscript[g, 3]}]]] == WeierstrassSigma[n, \[Lambda] z, {Subscript[g, 2]/\[Lambda]^4, Subscript[g, 3]/\[Lambda]^6}] /; Element[n, {1, 2, 3}]










Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["WeierstrassSigma", "[", RowBox[List["n_", ",", RowBox[List["\[Lambda]_", " ", "z_"]], ",", RowBox[List["WeierstrassInvariants", "[", RowBox[List["\[Lambda]_", " ", RowBox[List["WeierstrassHalfPeriods", "[", RowBox[List["{", RowBox[List[SubscriptBox["g_", "2"], ",", SubscriptBox["g_", "3"]]], "}"]], "]"]]]], "]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["WeierstrassSigma", "[", RowBox[List["n", ",", RowBox[List["\[Lambda]", " ", "z"]], ",", RowBox[List["{", RowBox[List[FractionBox[SubscriptBox["gg", "2"], SuperscriptBox["\[Lambda]", "4"]], ",", FractionBox[SubscriptBox["gg", "3"], SuperscriptBox["\[Lambda]", "6"]]]], "}"]]]], "]"]], "/;", RowBox[List["n", "\[Element]", RowBox[List["{", RowBox[List["1", ",", "2", ",", "3"]], "}"]]]]]]]]]]










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





2001-10-29





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