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WeierstrassP






Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassP[z,{g2,g3}] > Transformations > Related transformations > General fractions of half-periods





http://functions.wolfram.com/09.13.16.0025.01









  


  










Input Form





WeierstrassP[z, WeierstrassInvariants[{Subscript[\[Omega], 1]/(2 n + 1), Subscript[\[Omega], 2]}]] == WeierstrassP[z, {Subscript[g, 2], Subscript[g, 3]}] + Sum[((1 - KroneckerDelta[k, 0])/4) ((WeierstrassPPrime[(2 k Subscript[\[Omega], 1])/(2 n + 1), {Subscript[g, 2], Subscript[g, 3]}]^2 + WeierstrassPPrime[z, {Subscript[g, 2], Subscript[g, 3]}]^2)/ (WeierstrassP[(2 k Subscript[\[Omega], 1])/(2 n + 1), {Subscript[g, 2], Subscript[g, 3]}]^2 - WeierstrassP[z, {Subscript[g, 2], Subscript[g, 3]}]^2)^2 - 2 WeierstrassP[(2 k Subscript[\[Omega], 1])/(2 n + 1), {Subscript[g, 2], Subscript[g, 3]}] - WeierstrassP[z, {Subscript[g, 2], Subscript[g, 3]}]), {k, -n, n}] /; Element[n, Integers] && n >= 0










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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