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variants of this functions
EllipticPi






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/08.06.06.0021.01









  


  










Input Form





EllipticPi[n, z, m] \[Proportional] EllipticPi[n, Subscript[z, 0], m] + (1/(Sqrt[1 - m Sin[Subscript[z, 0]]^2] (1 - n Sin[Subscript[z, 0]]^2))) (z - Subscript[z, 0]) - ((Sin[2 Subscript[z, 0]] (-m - 2 n + 3 m n Sin[Subscript[z, 0]]^2))/ (4 (1 - m Sin[Subscript[z, 0]]^2)^(3/2) (n Sin[Subscript[z, 0]]^2 - 1)^ 2)) (z - Subscript[z, 0])^2 + \[Ellipsis] /; (z -> Subscript[z, 0])










Standard Form





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MathML Form







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</ci> </apply> </apply> <apply> <ci> Rule </ci> <ci> z </ci> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 0 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02





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