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variants of this functions
EllipticPi






Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticPi[n,z,m] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself > With respect to m





http://functions.wolfram.com/08.06.13.0001.01









  


  










Input Form





8 (m - 1) m (m - n) D[w[m], {m, 3}] + 4 (11 m^2 + 2 n - 6 m n - 7 m) D[w[m], {m, 2}] + 6 (7 m - n - 2) D[w[m], m] + 3 w[m] == (3 Sin[2 z])/(2 Sqrt[(1 - m Sin[z]^2)^5]) /; w[m] == EllipticPi[n, z, m]










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