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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/09.18.13.0001.01









  


  










Input Form





(Subscript[g, 2]^3 - 27 Subscript[g, 3]^2) D[Subscript[\[Omega], 1], Subscript[g, 2]] + (1/4) Subscript[g, 2]^2 Subscript[\[Omega], 1] - (9/2) Subscript[g, 3] WeierstrassZeta[Subscript[\[Omega], 1], {Subscript[g, 2], Subscript[g, 3]}] == 0 /; {Subscript[\[Omega], 1], Subscript[\[Omega], 3]} == WeierstrassHalfPeriods[{Subscript[g, 2], Subscript[g, 3]}] && (Subscript[g, 2]^3 - 27 Subscript[g, 3]^2) D[Subscript[\[Omega], 3], Subscript[g, 2]] + (1/4) Subscript[g, 2]^2 Subscript[\[Omega], 3] - (9/2) Subscript[g, 3] WeierstrassZeta[Subscript[\[Omega], 3], {Subscript[g, 2], Subscript[g, 3]}] == 0 && {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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