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variants of this functions
WeierstrassSigma




Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassSigma[z,{g2,g3}] > Series representations > Generalized power series > Expansions at z==0





http://functions.wolfram.com/09.15.06.0002.01









  


  








Input Form





WeierstrassSigma[z, {Subscript[g, 2], Subscript[g, 3]}] == Sum[(Subscript[a, m, n]/(4 m + 6 n + 1)!) (Subscript[g, 2]/2)^m (2 Subscript[g, 3])^n z^(4 m + 6 n + 1), {m, 0, Infinity}, {n, 0, Infinity}] /; (Subscript[a, 0, 0] == 1 && Subscript[a, m, n] == 0 /; m < 0 || (n < 0 && Subscript[a, m, n] == (16/3) (n + 1) Subscript[a, m - 2, n + 1] - (1/3) (2 m + 3 n - 1) (4 m + 6 n - 1) Subscript[a, m - 1, n] + 3 (m + 1) Subscript[a, m + 1, n - 1]))








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