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JacobiZeta




Mathematica Notation

Traditional Notation









Elliptic Integrals > JacobiZeta[z,m] > Series representations > Generalized power series > Expansions at generic point z==z0 > For the function itself





http://functions.wolfram.com/08.07.20.0006.01









  


  








Input Form





JacobiZeta[z, m] == Sum[(Gamma[k - 1/2]/(k! Sqrt[Pi])) Sum[(((-1)^j (1 - m Sin[Subscript[z, 0]]^2)^(1/2 - j))/(j! (k - j - 1)!)) (1/(1 - 2 k) - (EllipticE[m] (2 k - 1))/(EllipticK[m] (1 - m Sin[Subscript[z, 0]]^2) (2 j + 1))) D[(1 - m Sin[z]^2)^j, {z, k - 1}] (z - Subscript[z, 0])^k, {j, 0, k - 1}], {k, 0, Infinity}]








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