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variants of this functions
LaguerreL




Mathematica Notation

Traditional Notation









Polynomials > LaguerreL[n,lambda,z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/05.08.13.0012.01









  


  








Input Form





h[z]^2 Derivative[2][w][z] + (-Derivative[1][g][z] + ((\[Lambda] + 1) Derivative[1][g][z])/g[z] - (2 Derivative[1][h][z])/ h[z] - Derivative[2][g][z]/Derivative[1][g][z]) h[z]^2 Derivative[1][w][z] + (2 Derivative[1][h][z]^2 - (h[z] Derivative[1][g][z] ((-n) h[z] Derivative[1][g][z] + (\[Lambda] + 1) Derivative[1][h][z]))/g[z] + h[z] (Derivative[1][g][z] Derivative[1][h][z] + (Derivative[1][h][z] Derivative[2][g][z])/Derivative[1][g][z] - Derivative[2][h][z])) w[z] == 0 /; w[z] == Subscript[c, 1] h[z] LaguerreL[n, \[Lambda], g[z]] + Subscript[c, 2] h[z] MeijerG[{{}, {n + 1}}, {{0, -\[Lambda]}, {}}, -g[z]]








Standard Form





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MathML Form







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</ci> </apply> </list> <list /> </list> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> g </ci> <ci> z </ci> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02