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WeierstrassHalfPeriods






Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassHalfPeriods[{g2,g3}] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/09.18.13.0002.01









  


  










Input Form





4 (Subscript[g, 2]^3 - 27 Subscript[g, 3]^2) D[WeierstrassHalfPeriods[{Subscript[g, 2], Subscript[g, 3]}], Subscript[g, 2]] == 18 Subscript[g, 3] Subscript[\[Eta], 1] - Subscript[g, 2]^2 WeierstrassHalfPeriods[{Subscript[g, 2], Subscript[g, 3]}] /; {Subscript[g, 2], Subscript[g, 3]} == WeierstrassInvariants[{Subscript[\[Eta], 1], Subscript[\[Eta], 2]}] && {Subscript[\[Eta], 1], Subscript[\[Eta], 2]} == {WeierstrassZeta[Subscript[\[Omega], 1], {Subscript[g, 2], Subscript[g, 3]}], WeierstrassZeta[Subscript[\[Omega], 3], {Subscript[g, 2], Subscript[g, 3]}]} && {Subscript[\[Omega], 1], Subscript[\[Omega], 3]} == WeierstrassHalfPeriods[{Subscript[g, 2], Subscript[g, 3]}]










Standard Form





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MathML Form







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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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