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WeierstrassPHalfPeriodValues




Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassPHalfPeriodValues[{g2,g3}] > Representations through equivalent functions > With related functions > Involving elliptic integrals and modular functions





http://functions.wolfram.com/09.20.27.0010.01









  


  








Input Form





(Subscript[e, 1] - Subscript[e, 2])/(Subscript[e, 1] - Subscript[e, 3]) == 1 - ModularLambda[Subscript[\[Omega], 3]/Subscript[\[Omega], 1]]








Standard Form





Cell[BoxData[RowBox[List[FractionBox[RowBox[List[SubscriptBox["e", "1"], "-", SubscriptBox["e", "2"]]], RowBox[List[SubscriptBox["e", "1"], "-", SubscriptBox["e", "3"]]]], "\[Equal]", RowBox[List["1", "-", RowBox[List["ModularLambda", "[", FractionBox[SubscriptBox["\[Omega]", "3"], SubscriptBox["\[Omega]", "1"]], "]"]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mfrac> <mrow> <msub> <mi> e </mi> <mn> 1 </mn> </msub> <mo> - </mo> <msub> <mi> e </mi> <mn> 2 </mn> </msub> </mrow> <mrow> <msub> <mi> e </mi> <mn> 1 </mn> </msub> <mo> - </mo> <msub> <mi> e </mi> <mn> 3 </mn> </msub> </mrow> </mfrac> <mo> &#10869; </mo> <mrow> <mn> 1 </mn> <mo> - </mo> <semantics> <mrow> <mi> &#955; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mfrac> <msub> <mi> &#969; </mi> <mn> 3 </mn> </msub> <msub> <mi> &#969; </mi> <mn> 1 </mn> </msub> </mfrac> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[&quot;\[Lambda]&quot;, &quot;(&quot;, FractionBox[SubscriptBox[&quot;\[Omega]&quot;, &quot;3&quot;], SubscriptBox[&quot;\[Omega]&quot;, &quot;1&quot;]], &quot;)&quot;]], InterpretTemplate[Function[ModularLambda[Slot[1]]]]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <mrow> <mfrac> <mrow> <msub> <mi> e </mi> <mn> 1 </mn> </msub> <mo> - </mo> <msub> <mi> e </mi> <mn> 2 </mn> </msub> </mrow> <mrow> <msub> <mi> e </mi> <mn> 1 </mn> </msub> <mo> - </mo> <msub> <mi> e </mi> <mn> 3 </mn> </msub> </mrow> </mfrac> <mo> &#10869; </mo> <mrow> <mn> 1 </mn> <mo> - </mo> <semantics> <mrow> <mi> &#955; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mfrac> <msub> <mi> &#969; </mi> <mn> 3 </mn> </msub> <msub> <mi> &#969; </mi> <mn> 1 </mn> </msub> </mfrac> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[&quot;\[Lambda]&quot;, &quot;(&quot;, FractionBox[SubscriptBox[&quot;\[Omega]&quot;, &quot;3&quot;], SubscriptBox[&quot;\[Omega]&quot;, &quot;1&quot;]], &quot;)&quot;]], InterpretTemplate[Function[ModularLambda[Slot[1]]]]] </annotation> </semantics> </mrow> </mrow> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", FractionBox[RowBox[List[SubscriptBox["e_", "1"], "-", SubscriptBox["e_", "2"]]], RowBox[List[SubscriptBox["e_", "1"], "-", SubscriptBox["e_", "3"]]]], "]"]], "\[RuleDelayed]", RowBox[List["1", "-", RowBox[List["ModularLambda", "[", FractionBox[SubscriptBox["\[Omega]", "3"], SubscriptBox["\[Omega]", "1"]], "]"]]]]]]]]


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





2001-10-29