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WeierstrassPPrime






Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassPPrime[z,{g2,g3}] > General characteristics > Symmetries and periodicities > Transformation of half-periods





http://functions.wolfram.com/09.14.04.0005.01









  


  










Input Form





WeierstrassPPrime[z, WeierstrassInvariants[ {a Subscript[\[Omega], 1] + b Subscript[\[Omega], 3], c Subscript[\[Omega], 1] + d Subscript[\[Omega], 3]}]] == WeierstrassPPrime[z, WeierstrassInvariants[{Subscript[\[Omega], 1], Subscript[\[Omega], 3]}]] /; Element[{a, b, c, d}, Integers] && a d - b c == \[PlusMinus]1










Standard Form





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MathML Form







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</ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <times /> <ci> d </ci> <apply> <ci> Subscript </ci> <ci> &#969; </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <apply> <ci> Subscript </ci> <ci> g </ci> <cn type='integer'> 3 </cn> </apply> <apply> <plus /> <apply> <times /> <ci> a </ci> <apply> <ci> Subscript </ci> <ci> &#969; </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <times /> <ci> b </ci> <apply> <ci> Subscript </ci> <ci> &#969; </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <ci> c </ci> <apply> <ci> Subscript </ci> <ci> &#969; </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <times /> <ci> d </ci> <apply> <ci> Subscript </ci> <ci> &#969; </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <apply> <partialdiff /> <list> <cn type='integer'> 1 </cn> </list> <ci> &#8472; </ci> </apply> <apply> <ci> CompoundExpression </ci> <ci> z </ci> <apply> <apply> <ci> Subscript </ci> <ci> g </ci> <cn type='integer'> 2 </cn> </apply> <apply> <ci> Subscript </ci> <ci> &#969; 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Rule Form





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





2001-10-29





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