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variants of this functions
PolyLog






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > PolyLog[2,z] > Differential equations > Ordinary linear differential equations and Wronskians > For the direct function itself





http://functions.wolfram.com/10.07.13.0007.01









  


  










Input Form





Derivative[3][w][z] + (((-2 + 3 g[z]) Derivative[1][g][z])/ ((-1 + g[z]) g[z]) - (3 Derivative[2][g][z])/Derivative[1][g][z]) Derivative[2][w][z] + (Derivative[1][g][z]^2/((-1 + g[z]) g[z]) - (3 Derivative[2][g][z])/(-1 + g[z]) + (2 Derivative[2][g][z])/ ((-1 + g[z]) g[z]) + (3 Derivative[2][g][z]^2)/Derivative[1][g][z]^2 - Derivative[3][g][z]/Derivative[1][g][z]) Derivative[1][w][z] == 0 /; w[z] == Subscript[c, 1] + Subscript[c, 2] Log[g[z]] + Subscript[c, 3] PolyLog[2, g[z]]










Standard Form





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MathML Form







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</apply> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <partialdiff /> <bvar> <ci> z </ci> <degree> <cn type='integer'> 2 </cn> </degree> </bvar> <apply> <ci> g </ci> <ci> z </ci> </apply> </apply> <apply> <power /> <apply> <times /> <apply> <plus /> <apply> <ci> g </ci> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> <apply> <ci> g </ci> <ci> z </ci> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <partialdiff /> <bvar> <ci> z </ci> <degree> <cn type='integer'> 2 </cn> </degree> </bvar> <apply> <ci> g </ci> <ci> z </ci> </apply> </apply> <apply> <power /> <apply> <plus /> <apply> <ci> g </ci> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <partialdiff /> <bvar> <ci> z </ci> <degree> <cn type='integer'> 3 </cn> 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Rule Form





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





2007-05-02