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EllipticK






Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticK[z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/08.02.13.0007.01









  


  










Input Form





4 (-1 + a z^r) z^2 Derivative[2][w][z] + 4 (-1 + a (1 + r) z^r + s (2 - 2 a z^r)) z Derivative[1][w][z] + (a r^2 z^r - 4 a r s z^r + 4 s^2 (-1 + a z^r)) w[z] == 0 /; w[z] == Subscript[c, 1] z^s EllipticK[a z^r] + Subscript[c, 2] z^s EllipticK[1 - a z^r]










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)





2007-05-02





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